KEY 


FRANKLIN 


WRITTEN  ARITHMETIC 


BY 


EDWIN    P.  SEAVER,  A.  M. 

HEAD   MASTER   OF  THE  ENGLISH    HIGH   SCHOOL,    BOSTON  ;    FORMERLY   ASSISTANT 
PROFESSOR   OF   MATHEMATICS    IN    HARVARD   COLLEGE 


GEO.  A.  WALTON,  A.  M. 

AUTHOR  OF  WALTONS'   ARITHMETICS,    ARITHMETICAL   TABLES,    ETC. 


BOSTON 
WILLIAM    WARE    AND    COMPANY 

[Successors  to  Brewer  and  Tileston] 
1880 


a.Mc 


CopvniGHT 
By  E    p.  SEAVER  and  G.  A.  WALTOy. 

1878. 


University  Press:  John  Wilson  &  Son, 
Cambridgb. 


ajc 

PREFACE 


The  principal  part  of  this  Key  is  made  up  of  answers  to 
the  Examples  for  the  Slate,  including  answers  to  the  Exer- 
cises upon  the  Drill  Tables,  in  the  Franklin  Arithmetic.  In 
a  few  instances,  as  in  Partial  Payments,  in  the  Average  of 
Payments  and  of  Accounts,  the  partial  results  are  given,  or 
the  processes  indicated. 

The  Key  is  designed  especially  to  save  labor  for  the 
teacher;  it  is  to  give  him  the  means  of  testing  the  results 
of  the  pupils'  work,  without  having  to  do  all  the  work 
himself. 

The  pupil  should  not  have  the  answer  to  his  problem  under 
his  eye  at  the  outset,  lest  he  perform  his  work  with  refer- 
ence to  that ;  he  ought  rather  to  form  the  habit  of  working 
solely  from  the  conditions  given  in  the  statement  of  the 
problem.  It  would  be  better,  even  then,  that  he  should  be 
able  to  test  his  own  work  by  some  method  of  proof,  or  by 
reviewing  his  processes.  But  next  to  this,  and  perhaps  all 
that  can  be  expected  in  the  majority  of  cases,  would  be  to 
let  him  compare  his  result  with  that  given  in  the  Key. 

Great  pains  have  been  taken  to  have  the  answers  correct. 
Yet  should  the  book  be  found  to  be  wholly  free  from 
errors,  it  would  be  a  gratifying  surprise  to  the  authors.  And 
they  would  earnestly  request  that  any  errors  which  may  be 
discovered  be  reported  to  the  publishers,  and  the  requisite 
corrections  will  be  promptly  made. 

Boston,  August,  1878.        ^^Jk  \    t  A*\ 


CONTENTS 


PAGE 

Answers  to  Examples 6 

Answers  to  Drill  Exercises: 

Simple  Numbers 43 

United  States  Money      . 63 

Common  Fractions 67 

Decimal  Fractions V4 

Compound  Numbers T9 

Percentage 88 

Extraction  of  Roots ^^ 


KEY 


Page  5. 
Ex.      Ans. 
9.  4,000. 

10.  4,400. 

11.  4,040. 

12.  4,004., 

Page  6. 

13.  8,422. 

14.  356,890. 

15.  60,065. 

16.  1878. 

Page  7. 

17.  46  thoiis.  520  units. 

18.  406  tho.  502  units. 

19.  1  million,  1  tbous. 

110  units. 

20.  85,503,007. 

21.  906,218,028. 

22.  3,037,900,200. 

23.  18,000,000,004. 

24.  40,700,000. 

25.  37,099,009,000,000. 

Page  11. 

53.  0.7. 

54.  0.07. 

55.  0.007. 

56.  0.25. 


Ex.       Ans. 

57.  0.039. 

Ex. 

Page  19. 
Ans. 

58.  7.005. 

18. 

1,038  miles. 

59.  25.0049. 

19. 

$  77,277. 

60.  0.00306. 

20. 

12.297. 

61.  0.05047. 

21. 

$1814.155. 

Page  15. 

22. 
23. 

5.17  miles. 
$33.70. 

1.  12,880. 

24. 

39.023  acres. 

2.  757. 

25. 

35.625  miles. 

3.  11,347. 

26. 

$160.13. 

4.  78,239. 

27. 

$1,123.66. 

5.  664. 

28. 

$1,034.33. 

6.  1,135. 

29. 

$  886.84. 

7.  135.237. 

30. 

$289.87. 

8.  4.019. 

31. 

$1,932.19. 

9.  20.429. 

Page  22. 

Page  18. 

1. 

141  oranges. 

10.  2,316  bushels. 

2. 

321  acres. 

11.  6,776  pounds. 

12.  $2,785. 

Page  23. 

13.  3,925  yards. 

3. 

571. 

14.  3,023  pounds. 

4. 

102. 

j5  j  1,191  barrels. 

5. 

8,272. 

*  I  $  8,259. 

6. 

654. 

16.  1,604  miles. 

7. 

$357. 

^y  j  7,329  acres. 
'  I  621,472  trees. 

8. 
9. 

78  years. 
972  years. 

KEY. 


r:ihe9A. 

Ex.        Ans. 

Ex. 

Ans. 

':■'■       '^■:-':        .  ,      '■ 

42.  883.83. 

25. 

40,907,020. 

'10. '2,77 i  'oxeh:     '  ' ' ' 

43.  $89. 

26. 

150,000. 

11.  473  birds. 

44.  715  persons. 

27. 

112,000. 

12.  178.5. 

45.  $2,058. 

(  168,300. 

13.  $11.72. 

46.  $20,060. 

28. 

)  1,683,000. 

14.  999.999. 

47.  162  miles. 

(  16,830,000. 

48.  338  miles. 

29. 

21,440,000. 

Page  26. 

49.  712. 

30. 

25,628. 

15.  750  bushels. 

50.  $  1,340. 

31. 

66,912. 

16.  $297. 

32. 

18,763. 

17.  2,776  acres. 

Page  30. 

33. 

32,215. 

18.  3,948  feet. 

1.  980  poumls. 

34. 

2,573,284. 

19.  $1,881.87. 

2.  1,032  pounds. 

35. 

2,740,356. 

20.  84  years. 

3.  $2,191. 

21.  $6,175. 

4.  $4,275. 

Page  33. 

22.  215,174  bushels. 

5.  2,560  miles. 

36. 

850. 

23.  1,522  miles. 

6.  407  days. 

37. 

4,802.  ^ 

24.  35,884. 

7.  63,360  feet. 

38. 

79,576. 

25.  27,333. 

Page  31. 

39. 

368,400. 

26.  78,883. 

8.  5,124/'. 

40. 

4,378,125. 

27.  110,121. 

28.  202,837. 

9.  $2,916. 

10.  $2,856. 

41. 
42. 

488,151. 
46,215. 

29.  298,122. 

11.  5,156/'. 

12.  $2,352. 

13.  3,913  cents. 

14.  2,403. 

43. 

1,030,945. 

30.  128,623. 

31.  881,803. 

32.  3  times;  440,111 

44. 
45. 
46. 

3,834,432. 

233,473,500,000. 

381,840,480,000. 

over. 

15.  11, .304. 

Page  34. 

33.  139,886  feet. 

16.  57,817. 

47. 

43.24  ;  9,082.5. 

Page  27. 

17.  1,890,441. 

48. 

42.5454;  0.009. 

34.  194.85  acres. 

18.  1,. 325,700. 

19.  1,692,501. 

49. 

24. 

35.  0.315. 

20.  650  cents. 

Page  36. 

36.  0.515. 

37.  76.87. 

21.  $10,000. 

50. 

$  540  ;  $  2,700. 

22.  $8,250. 

51. 

$5, 1(H). 

38.  7,551.5544. 

39.  906.975. 

Page  32. 

rg 

'41,400  stitches; 
496,800  stitches; 

40.  584.995. 

23.  5,0.30,720. 

OZ. 

2,980,800  stitches 

41.  11.086. 

24.  7,599,240. 

.155,001,600     *• 

KEF. 


Ex.  Arts. 

53.  1,950,000  inhab. 

5^^  I  1,170,000  yards. 

*  I  60,840,000  yards 

55.  180,000,000  lbs. 

56.  86,400  seconds. 

57.  91,289,796  miles. 

58.  16.25  hours. 

59.  36.225  acres. 

60.  $446.50. 

61.  $7,962.50. 

62.  336.8336. 

Page  37, 

63.  10,980  pounds. 

64.  3,000  feet. 

65.  3,586  feet. 

66.  $352. 

67.  $783.       , 

68.  479,232. 

69.  $518. 

70.  39,296  strands. 

71.  $27,000. 

72.  $121. 

73.  $148. 

74.  33. 

Page  41. 

1.  634  cords. 

2.  268  hours. 

3.  405  hours. 

4.  983  packages. 

Page  42. 

6.  104  weeks;  2  rem. 

6.  323  cans;  3  rem. 

7.  16  years;  8  rem. 
8  134  rows. 

9.  542  yds.;  10/ rem. 

10.  3,268  or.;  3/  rem, 


Page  43. 
Ex.      Arts. 

U.  225/. 

12.  195-|  miles. 

13.  $315|. 

14.  410|  thousand. 

15.  $7,544|. 

16.  40,598|. 

17.  1,1111 

18.  3,07liV 

19.  37,341|. 

20.  l,443,002f 

21.  19,661,314|. 

22.  123,432. 

23.  20,551. 

24.  41,089. 

25.  10,917. 

26.  17.2811. 

27.  11,759.6. 

28.  $26.06. 

29.  $129.62. 

Page  45. 

30.  151^\orl51.096. 

31.  224. 

32.  108||or  108.740. 

33.  108||  or  108.838. 

34.  528|f  or528.565. 

35.  345-fl  or  345.805. 

36.  438|f or438.952. 

37.  396|for396.395. 

Page  46. 

38.  279||  or  279.5 
39_  (  l,236f|  or 


1,236.506... 
40.  4,158. 
41   {7,753|ior 

7,753.920... 


Ex.  Ans. 

42.  I  l^lHt  «^ 
(  191.783... 

43  \  123^  «^ 
(  133.175. 

44  \  3'2492Vt  or 
(  3,249.059... 

45  (  1,107|U  or 
'  I  1,107.843... 

Page  47. 

46.  $123.67. 

47.  $148.63. 

48.  $56,849. 

49.  2,775. 

50.  42,303.3248. 

Page  49. 

51.  6|^  days. 

52.  28  barrels. 

53.  403||  days. 

54.  103^2g^day8. 

55.  5||f §■  miles. 

56.  197|f  acres. 

57.  133  boxes. 

58.  228  eggs. 

59.  $85.00. 

a(\  \  $336,768; 

'  (  1,754  lbs. 

61.  295.875  acres. 

62.  $1.12. 

63.  $0.03. 

64.  0.142...  acres. 

65.  0.312...  tons. 

66.  8.560...  miles. 

67.  0.385... 

68.  0.015... 

69.  0.008... 


8 


KEY. 


Page  50. 
Ex.  Ans. 

1.  5,095,708. 

2.  4,643. 

3.  53,291. 

4.  15,672  by  698. 

5.  13,702. 

6.  931,055. 

7.  76,350. 

8.  405,095,040. 

9.  17,240,192. 

10.  4. 

11.  876,232. 

12.  190. 

13.  2,488,496. 


Page  52. 

15.  11,678.00. 

16.  480  acres. 

17.  $1,592.00. 

18.  5,718  gallons. 

19.  23,831  men. 

20.  $390.00. 

21.  $35.25. 

22.  588  miles. 

23.  4,474  sq.  m. 

24.  5 States;  1,270sq.m. 

25.  5,538  sq.  m. 

26.  3;  4;  5,270  sq.  m. 

27.  30,000  lbs. 

Page  53. 

28.  660  pupils. 

29.  2,122  feet. 

30.  182  girls. 

31.  $1,960.(X). 

32.  $136.00. 

33.  $1,436.40. 

34.  3,276  bush. 


Ex.  Ans. 

35.  $71.04. 

36.  $331.00. 

37.  $52.00. 

38.  Gained  $  39. 

39.  90  clays. 

Page  54. 

40.  14  posts ;  65  rails. 

41.  $12,200. 

42.  $2,028. 

43.  28  days. 

44.  15  months. 

45.  $8.00. 

46.  134i|  acres. 

47.  $118.00. 

48.  4,997. 

49.  225  miles. 

50.  Gained  $  161. 

51.  2,271;  2,053. 

Page  55. 

52.  $52,458. 

53.  2,323,200,000  cu.  ft 

54.  883;  $56.15  left. 

55.  23||  hours. 

56.  $85.20. 

57.  50  days. 

58.  40  pieces. 

59.  3,711  years. 

60.  170  B.  c. 

61.  1438  a.  D. 

Page  56. 

62.  10|^  years. 

63.  499iV^jV^8econds. 
Pages  69,  61,  and  63. 

Answers  to  the  drill  ex- 
ercises on  tables  1,  2, 
and  3  will  be  fouiul  on 
page  33  of  this  Key. 


Page  65. 
Ex.        Ans. 

1.  $118.98. 

2.  $62.91. 

Page  66. 

3.  $19.16;  $42.50. 

4.  $  16.60. 

5.  $61.31. 

6.  $36.88. 

7.  $21.75. 

8.  $952.56. 

9.  24. 

10.  288. 

11.  60  boxes;  20/ rem. 

12.  32  veils;  56/ rem. 
,„  I  35  dinners; 

$0.12^  rem. 


14.  $1,085.18. 

15.  $92.75. 

16.  $167.50. 

Page  70. 

17.  $74.69. 

18.  $5.16. 

Page  71. 

19.  $306.28. 

20.  $248.30. 

21.  $65.88. 

22.  $1,035.84. 

23.  $2.42. 

24.  $9.13. 

25.  

26.  $14.50. 

Page  73. 

For  answers  to  drill  ex- 
ercises on  Table  No.  4, 
see  i>age  53  of  this  Key. 


KEF. 


Ex. 

27. 
28. 
29. 
30. 
31. 
32. 
33. 
34. 
35. 
36. 


37. 


1. 

2. 
3. 

4. 
5. 
6. 

7. 

8. 

9. 
10. 
11. 
12. 
13. 
14. 
15. 
16. 
17. 
18. 
19. 
20. 
21. 
22. 


Page  74. 

Ans. 

S6.09. 

Lost  50  f. 

$  4.80. 

$36,649.62. 

$292,318.04. 

$  9.92. 

$1.25. 

16  boys. 

$  137.05. 

Whole,  $9.66;  ap- 
ple, 25/;  peach, 
28  f;  pear,  55/. 

$570. 

Page  78. 

2,  2,  3,  3,  5. 

2,  2,  2,  2,  2,  2,  3. 

2,  2,  2,  2,  11. 

2,  2,  2,  2,  13. 

2,  2,  5,  13. 

13,  13. 

7,47. 

2,  13,  13. 

3,  7,  17. 

2,  2,  7,  23. 

2,  2,  3,  3,  19. 

2,  2,  5,  5,  5,  5. 

11,31. 

2,  2,  2,  43. 

2,  181. 

Prime. 

2,  2,  2,  3,  17. 

2,  3,  3,  5,  5. 

2,  5,  59. 

2,  2,  2,  2,  5,  7. 

2,  2,  149. 

13,  53. 


Ex. 

23. 

24. 
25. 
26. 
27. 
28. 
29. 
30. 
31. 
32. 


Ans. 

2,  2,  2,  2,  2,  2,  11. 

3,  3,  79. 
2,  3,  127. 

2,  2,  2,  101. 

2,  2,  11,  19. 

3,  3,  3,  5,  7. 

2,  2,  3,  3,  3,  3,  3. 

2,2,2,2,2,2,2,3,7. 

2,  2,  3,  97. 

2,  2,  2,  2,  7,  29. 


Page  80. 


33. 
34. 
35. 
36. 
37. 
38. 
39. 
40. 
41. 
42. 
43. 
44. 
45. 
46. 


70. 

46. 

10. 

2. 

11. 

5. 


g.  15. 
h.  18. 
i.  2. 

j-  11. 
k.  8. 
I.  75. 


Page  81. 
4ia. 
3. 

$  2.50. 

338  bushels. 

175  feet. 

306  dozen. 

$12. 

70  men's  work. 

10  weeks. 

24  days. 

38f  yards. 

4  months. 

1,260  overcoats. 

Page  83. 

4.  50.  6. 

6.  51.   14. 

9.  52.  13. 


Ex. 
53. 
54. 
55. 


Ans.  Ex.  Ans. 

1.  56.  6  feet. 

6.  57.  3  feet. 

3  feet.  58.  21  feet. 


Pai 

je  84. 

59. 

17. 

61.  1. 

60. 

21. 

62.  17 

Page  86. 

63. 

2,520. 

64. 

180. 

65. 

360. 

66. 

840. 

67. 

7,644. 

68. 

3,744. 

69. 

5,040. 

70. 

2,520. 

Page  87. 
75,712. 
35,880. 
616. 
19,824. 
940,500. 
554,664. 
9,680. 
1,007,930. 


Page  9L 


1  9 


¥T- 


7.  i 

9    ^^l 
10.  1^. 

12.  m- 


Page  92. 


10}| 


10 


KEY. 


Ex.    Ans. 

Ex.     Ans. 

Ex.        Ans. 

16.  471^ 

49.  59f. 

80.  114J^. 

17.  280f. 

50.  ll|. 

81.  262^. 

18.  22^^.^ 

51.  4|. 

82.  14,244|. 

19.  49|  days. 

52.  24f. 

83.  4,623|. 

20.  18^  years. 

53.  5^. 

54.  14^. 

84.  7,906f. 

Page  93. 

55.  35V 

Page  102. 

21.  ^K 

22.  J^^A 

23.  A|,p. 

24.  n^. 

25.  ^2^«/. 

26.  -s^. 

27.  ^K 

28.  ^IK 

29.  8||ff. 

56.  n-  ■ 

57.  Ml. 

58.  ,V^. 

59.  ^f. 

60.  15^. 

61.  12if|. 

62.  tV-^-i\ 

7-i\-6lf^«5. 

63.  |  +  ^T  =  i?l 

85.  8403.13. 

86.  124^  bu. 

87.  217J  oz. 

88.  262|  qt. 

89.  880.63. 

90.  177|lb. 

91.  834.29. 

92.  204. 

93.  473J. 

94.  107f 

95.  15,746^. 

96.  20,143f. 

Page  96. 

^-m^mi^^^^- 

30.  2i|. 

31.  2,V 

64.  7||  miles. 

65.  4,650/^  feet. 

32.  1/5. 

Page  99. 

97.  25,788|. 

33.  1^. 

34.  m. 

66.  9:fV  barrels. 

67.  851.70. 

Page  104. 

35.  1. 

68.  m- 

69.  132 

98.  ^\. 

36.  IH. 

99.^. 

37.  11^. 

5 

100.  |. 

38.  m- 

Page  100. 

101.  ^. 

39.  1,V^. 

70.   15|  A. 

102.  M- 

40.  9|f. 

71.  42f  yd. 

103.  m 

41.  108,V^. 

72.  103^  rd. 

104.  2()2|. 

42.  172^V 

73.  192^  miles. 

105.  72^|. 

43.  737 H. 

74.  660  ft.;  5,280  ft. 

106.  l^m. 

75.  187^  pounds. 

107.  $267A', or  1267.31. 

Page  9a 

76.  2,150f  in. 

108.  $470T\',or$470.31 

44.  A- 

77.  502^  days. 

109.  ^. 

46.  ii. 

110.  89V^\,  or  80.14. 

46.^. 

Page  101. 

111.  420. 

47.  35f. 

78.  leofjdays. 

112.  ,V 

48.  16  J. 

79.  132f 

113.  f 

KEY. 


11 


Page  105. 

Ex. 

.4/15. 

114. 

^• 

115. 

m\' 

116. 

f  or  If 

117. 

■ih- 

118. 

-ih- 

119. 

^' 

Page  106. 

120. 

II  in. 

Page  107. 

121. 

15^5  ni. 

122. 

5|yd. 

123. 

5|  rd. 

124. 

22|ift. 

125. 

^|y. 

126. 

iIt- 

127. 

F6  3"- 

128. 

T0^3T- 

129. 

KVA- 

130. 

4M- 

131. 

n\- 

132. 

13|f. 

133. 

IH. 

134. 

134f. 

Page  109. 

135. 

i¥t. 

136. 

ik- 

137. 

-il- 

138. 

14,661. 

139. 

1,152. 

140. 

9,720. 

141. 

132  lb. 

142. 

205  ft. 

143. 

21|. 

144. 

70. 

Ex.        Ans. 

Ex        Ans. 

145.   140. 

179.  131. 

146.  96. 

180.  ^. 

147.   ^\. 

181.  Sf. 

148.  Iff. 

182.  lif. 

149.  3. 

183.  $363.80. 

150.  If. 

184.  f  acre. 

151.  24  bu.;  16|bii. 

185.  $660,000. 

152.  250. 

186.  $576. 

Page  110. 

187.  $2,724.15. 

153.  1 2,307 1%  yd. 

154.  6^%  Yd. 

155.  28f  breadths. 

156.  15|iyd. 

157.  24(4f  lengths. 

158.  2f  If  sq.  rods.' 

159.  8  francs. 

188.  $4,225.92. 

(  Infentry,  4,200; 

'   (  Cavalry,  600. 
^g^    (  1st  y.  1,840  bu. 

*   (  2d  y.  2,300  bu. 

191.  165. 

192.  330  fowls. 

160.  If. 

Page  114. 

161.  f. 

193.  ff 

162.  7|f. 

194.  ^4^. 

163.  ^,4^. 

195.  i 

164.  li 

196.  $21;  $15;  $24; 

165.  -f. 

$12. 

166.^. 

197.   |.            Ex.      Ans. 

167.  If 

198.  I.          202.  -^j. 

168.  ^. 

199.  ^.        203.  4. 

169.  ^HiT. 

200.  ^\.        204.  i^. 

170.  3f 

201.  ^9^.      205.  {U. 

171.  28f 

206.  i,  1,  I  f,  f  f, 

172.  ^Wo- 

iV  T%- 

173.  If. 

174.  nu- 

175.  22/^B^^. 

Page  115. 

207.  5911. 

208.  25||. 

Page  112. 

209.  35,750. 

176.  18. 

210.  39^f. 

177.  38f 

211.  45,600. 

178.  1^^. 

212.  18,262f 

12 


KEY. 


Page  117. 

Ex. 

Ans. 

Ex.         Ans. 

Ex.             Ans. 

247. 

127U- 

278.  4^  days. 

213.  2x2x3x5x7. 

248. 

$  37.34. 

279.  5Hays. 

214.  3§. 

249. 

$  2.60. 

280.  i5^  days. 

215.  7. 

216.  252. 

Page  120. 

Page  123. 

217.  M  ;  ii. 

250. 

25||  days. 

For  answers  to  drill  ex- 

218. -aig2jL ;  5p. 

251. 

17/4 /-• 

ercises  on  Table  No,  5, 
see  page  57  of  this  Key. 

219.  137f ;  6. 

252. 

$2.16. 

^^^•m^m^m- 

253. 

$18,000;  $27,000. 

Page  126. 

221.  |i;M;-W. 

254. 

$  36.50. 

1.  0.070. 

222.  9|  ;  784^. 

255. 

$3,600;  $450. 

2   (  0.400 ;  0.750  ; 
■  (2.500;  1.060. 

223.  11^,^. 

256. 

144|  feet. 

224.  29f  ;  37;  2^-^. 

257. 

793 II  days. 

2  j0.tX)30;  1.7500; 
■  (  0.0060. 

225.  iff. 

258. 

15f  rods. 

226.  H;/^. 

259. 

78^-. 

4.  3.000;  3.0000. 

227.  T^e;  A;1J^. 

260. 

$  143.75. 

[  7.0     7.00    7.0000 
5.   40.0  40.00  40.0000 

228.  |i. 

261. 

89ff 

229.  39^%  miles. 

262. 

95  iM  sq.  yds. 

[37.0  37.00  37.0000 

230.  $6.25. 

263. 

^iz- 

6.  f           16.  |. 

231.  $31.50. 

264. 

$  33.89. 

7.  f           17.  ,VV 

232.  Anit.  $  85.78. 

8.  ^V         18.  §. 

Page  121. 

9.  \.           19.  \. 

Page  119. 

265. 

(  $119,931  ; 
\  623X  fr. 

10.  |.           20.  ,1^. 

233.  $  8.75. 

234.  $8.17. 

11.  i.           21.  ^\. 

266. 

648  lb. 

12.  I           22.  ,«3|^. 

267. 

25f  f  lb. 
$  5,833.33. 

$8.75. 

13.  ^.           23.  1. 

14.  i.          24.  ^. 

15.  I.          25.  I. 

2.35.  $  8,523.54. 
236.  $  14.63. 

268. 
269. 

237.  $7.29. 

270. 

2 If  miles. 

238.  25  ,(^. 

239.  $11,623.13. 

271. 
272. 

27|  hours. 
$  825.42. 

Page  127. 
26.  0.625. 

240.  $14,262.50. 

241.  $21.66. 

242.  $55.91. 

273. 
274. 

16|f. 
$42,666.67. 

27.  0.35. 

28.  0.024. 

i  800  in  all. 

29.  3.0625. 

243.  5^\  mo. 

275. 

<  160G,200F,80Sc., 

.30.  5.125. 

244.  $52.80. 

(      100E,120Sw. 

31.  20.03125. 

245.  2.gV. 

276. 

$6(K).00. 

32.  1.078125. 

246.  114|f. 

277. 

2\\  days. 

33.  8.75. 

KEY. 


13 


Ex.  Ans. 

34.  17.1171875. 

35.  1.0612. 

36.  0.0475. 

37.  0.03125. 

38.  2.225. 

39.  2.975. 

40.  1.6075. 

41.  16.9875. 

42.  ^54.59. 

43.  111.875. 

44.  $4.70. 

45.  16.485  acres. 

46.  1.9307734... 

Page  128. 

47.  2.1071. 

48.  58.6881. 

49.  0.3724. 

50.  11.5953  hours. 

51.  139.8837  rods. 

Page  129. 

52.  0.3. 

53.  0.83. 

54.  0.42857L 

55.  0.5. 

56.  0.916. 

57.  0.571428. 

58.  0.38. 

59.  0.045. 

60.  0.63. 

61.  0.0416. 

62.  1.153846. 

63.  3.i35. 

Page  130. 

64.  i.  67.  M- 

65.  |.  68.  ^^. 

66.  M-  69..  14. 


Ex. 

Ans. 

Ex. 

Ans. 

70. 

liVv- 

77. 

W- 

71. 

If 

78. 

iV 

72. 

sV- 

79. 

t!j- 

73. 

iV'f 

80. 

^V' 

74. 

f 

81. 

7 

75.  f         82.  tlli^ 

76.  f |.       83.  Vo^V. 

Page  131. 

84.  0.432. 

85.  0.918. 

86.  1.5. 

87.  4.704. 

88.  42. 

89.  4.704. 

90.  10.23. 

91.  0.01648. 

92.  0.37418. 

93.  0.648. 

94.  128.94. 

95.  1.516. 

96.  220. 

97.  93.16f. 

98.  1.0125. 

99.  153.5625. 

100.  462.825. 

101.  380. 

102.  7,501. 

103.  7,500.0000001. 

104.  5,290.5687. 

105.  l,136.296f. 

106.  $2,471.10. 

Page  133. 

107.  48  books. 

108.  19|  yards. 

109.  6  rods. 
110  ^75qt.  dry. 

87^\  (it.  liquid. 


Ex.  Ans. 

111.  0.5  ton. 

112.  200  yards. 

113.  2.13. 

114.  5.5. 

115.  4. 

116.  0.36. 

117.  111. 

118.  7,720. 

119.  15.49. 

120.  0.3. 

121.  0.094. 

122.  0.1003... 

123.  1538.4615... 

124.  6,275. 

125.  950. 

126.  10,050. 

127.  0,0071. 

128.  0.0497— 

129.  0.0066— 

130.  42.08. 

131.  649.084. 

132.  43.08. 

133.  0.1234. 

134.  25.1045... 

135.  0.2342— 

136.  74.0762— 

137.  11,728.8. 

138.  2,877.617. 

Page  135. 

For  answers  to  drill  ex- 
ercises on  Table  No.  6, 
see  page  64  of  this  Key. 

Page  147. 

1.  133,608  oz. 

2.  $640.00. 

3.  62^  ft. 

4.  $191.40. 


14 


KEY. 


Ex. 
5. 
6. 

7. 
8. 
9. 


10. 
11. 
12. 

13. 


14. 
15. 
16. 

17. 

18. 

19. 
20. 
21. 
22. 
23. 
24. 
25. 

26. 

27. 

28. 

29. 


30. 
31. 


Ans. 
43,560  sq.  ft. 
1,955  acres. 
46,656  cu.  ill. 

17.21. 
$16.56. 

Page  148. 
42,048,000  times. 
14,608  hours. 
52,594,560  iiiin. 
5  1,625.26  common 
I      miles. 

Page  149. 
1  m.  274  id.  1  yd. 
284  rd.  1  ft. 
60  A.  87  sq.  rd. 
(  1  A.  28  sq.  rd.  5 
(      sq.  yd. 
(  3  sq.  yd.  6  sq.  ft. 
(      39  sq.  in. 
14°  54'  44". 
4T.  1,3281b. 
1,2211b.  11  oz. 
38  lb.  10  oz.  1  pwt. 
4  oz.  7  pwt.  1  gr. 
158  bii.  3  pk.  7  qt. 
2y.53d.  4h.33m. 
j  1  lb.  5  oz.  3  pwt. 
I      18  gr. 
1  lb.  5  oz.  10  pwt. 
7,899:j*3^  miles. 
{  30^1  bn.,  or 
\  30  bu.  1  pk,  5  qt. 

Page  150. 

3y<1.  -2  ft. 

(  20;}  1(1.  3  yd.  1  ft 

I      6  in. 


32. 


Ans. 

203  A.  101  sq.  rd- 
24 sq. yd.  6 sq.ft. 
108  sq.  in. 
{  42sq.rd.20sq.yd. 
(    1  sq.  ft.  72  sq.  in. 
1,750  lb. 
10  oz.  10  pwt. 
10cu.ft.864cu.in. 
1  pt.  1  gi. 

2  pk.  3  qt.  0  pt. 

Ifgi- 
33'  20". 
81  d.  2  h.  40  m. 
274  d.  12  h. 
$6,534.00. 
64  doses. 
6,930  planks. 


45. 
46. 
47. 
48. 
49. 
50. 
51. 


54. 
55. 

50. 
57. 
58. 


Page  15L 

^  gal. 

|rd. 

5887      A 

i  CU.  yd. 
11  year. 
0.2738 


mile. 


Page  152. 

O.S449...A,orO.S450-A. 
0,55y.;0.73jy.;0.4yiy. 

Page  153. 

135  gal.  2  qt. 

'  50  A.  130  sq.  rd. 

49  sq.  ft. 
78  m.  207  rd. 
13°  39'  8". 
16  d.  13  h. 


Ex.  Ans. 

59.  2  pk.  3^  qt. 

60.  205§rd. 

61.  554^  lb. 

Page  154. 

62.  3bu.  Ipk.  3. it. 

63.  2oz.  14  pwt.  19  gr. 

64.  15°  52'  40". 

65.  84  rd.  4^  yd. 

66.  5  ft.  6  in. 

67.  511  A.  154|sq.  rd. 

68.  7oz.  leipwt. 

69.  8  b.  19  m.  46.2  8. 

70.  C.Horn,  21°  36' 4". 

71.  13°  50'  7". 

72.  11°  3'  21". 

73.  86°  27'  17". 

74.  149°  14'  43". 

75.  74°. 

Page  157. 

76.  6  qt.  1  gi. 

77.  40 bu.  Ipk.  7qt. 

78.  258  m.  166  rd. 

79.  1  pk.  3  qt.  1  pt. 

80.  1  A.  50|  sq.  rd. 

81.  8  m.  14|s. 

82.  49  men. 

83.  15}  bins. 

84.  6h.  li  111.  10s. 

Page  158. 

85.  64°  15'. 

86.  32°  15'. 

87.  93°  2'  30". 

88.  16°  21'  15". 

89.  45°  W. 

90.  1°,15'  E. 


KEY. 


15 


Ex.        Ans 

91.  18°  E. 

92.  62°  W. 


93. 


Page  159. 
16°  15'  13"; 
90°  15'  16"  W. 

94.  167°  48'  45"  E. 

95.  10  m.  45^8-j  s. 

96.  4  h.  55  m.  37|  s. 

97.  1  h.  6  m.  48  s. 

98.  49  m.  40  s. 

Page  160. 

99.  7  in.  31^  s.  P.  M. 

100.  llo'cl.Tm.  43ls.  A.M 

101.  llo-cl.17m.5Us  A.M. 

102.  8  o'cl.  58in.  26i  8.  A.M. 

103.  5  o'cl.  58m.  -j^  8.  P.M. 

104.  6o'cl.  Im.  46-JgS.P.M, 

105.  5  o'cl.  17m.  32 gs.  P.M. 

106.  llo'cl.  Im.27j8.  PM. 

Note.  The  pupil  will  per- 
form the  examples  in  Men- 
suration more  intelligently 
if  he  makes  diagrams  of  the 
plane  figures  and  uses  blocks 
or  boxes  to  represent  the 
solid  bodies. 

Page  161. 

107.  28.^  yd. 

108.  37^  yd. 

109.  $41.25. 

110.  5,476  sq.  ft. 

111.  $5,197.50. 

112.  121  ft. 

113.  $2,178.00. 

114.  164  sq.  I'd. 

115.  2  sq.  rd. 

116.  20^11^  A. 

117.  $34,456.64. 


Page  162. 
Ex.         Ans. 

118.  $400.00. 

119.  1,696  cu.  in. 

120.  1,546^  lb. 

121.  6|  ft. 

122.  17^  sq.  yd. 

123.  22f  ft. 


Page  163. 


124.  81 


ft. 

125.  $54.66. 

126.  9\  ft. 

127.  42/. 

128.  99  ft. 

129.  45  ft. 

130.  2,400  ft. 

131.  120  ft. 

132.  81  ft. 

Page  164. 

133.  $12.21. 

134.  $0.95. 

135.  51f  qt. 

136.  168f4gal. 
'74-10  =  64 

64-^6•2i=1.024 
^ns.  1.024  cu.  ft. 
7.66...  gal. 

138.  45,^5^5_bu. 

139.  19|bu. 
^47x231  x4  _ 

140.  j  2150.42  X  5  ~ 

141.  7.664  cu.  in. 

142.  40  bu.;  32  bu. 

Page  165. 

143.  27,101  ft. 

144.  10oz.2pvvt.  17gr. 


137. 


Ex.  Ans. 

145.  16cu.ft.l,512cu.in. 

146.  $48.00. 

147.  $0.75. 

148.  0.695°. 

149.  0.1045...  rd. 

150.  |A.,or0.83iA. 

151.  185  d.  19h.  28m. 
87  sq.  rd.  3  sq.  yd. 

3  sq.  ft.  36 Si.  in. 

2lb.  5oz.  3p\vt. 
8gr. 

154.  2,079  sq.  ft. 

155.  1,920  cu.  ft. 
420  X  231  X  4 


152. 
153. 


^5g^  )  12x12x12x49 


4tV 
Ans.  4  ft.  7  in. 

621x4 


157. 


m 


144 

/  Ans.  lib.  ll|-oz. 
158.  900 bricks;  $8.10. 
L59.  1. 
160.  j\. 

i/^|=5l.  As 
no  breadtli  is  to  be 
divided,  6  breadths 
will  be  required. 

Ans.  26  yards. 
28  m.  32^\  s. 

163.  46°  r  30". 

164.  423  d. 


161, 


162. 


Page  166. 

165.  25;^. 

166.  $2.91. 

167.  60  furrows. 

168.  lloz.Opwt.  15gr. 

169.  31  sq.  ft. 

170.  $379.50. 

171.  768. 


16 


KEV. 


Ex.  Ans. 

172.  2°  13'  47f'. 

173.  40rd.  2ytl.  Sin. 

174.  17  d.  Ih.  30  m. 

175.  $68.75. 

(320  bu.  rough  estimate. 

177.  $16.50. 

,  -o  (78  A.  135  sq.  rd.  sons'. 
^  '  ®*  i  87  A.  115  sq.  rd.  dau's'. 

179.  48  yd. 

Page  167. 

180.  1,860,000  yd. 

181.  181b.  10^  oz. 

182.  72  sq.ft. 

183.  $0.27iV 
1&4.  $5.50. 

185.  llfl  cd. 

186.  $7.45. 

187.  $37.75. 

188.  286j^  gal. 

189.  $51.75. 

190.  $44.55. 

191.  92^%  d. 

fTop  of  block,  2  sq.ft. 
Area  of  sides,  3§  " 


192. 


Sum,  5|  " 

3x9x3      ®* 
Ans.  If  yartl. 

193.  $40.08. 

194.  66,825  stones. 

Page  168. 

195.  ^  l^'-''>3m-35i7^s. 
after  nii(lniy;ht. 
^'r.gr.3gr.6 

197    \  1  ^1-  %  ii^- 
3  h.  51f  m. 


Page  171. 
For  answers  to  drill  ex 
ercises  on  Table  No.  7, 
see  page  69  of  this  Key. 

Page  174. 
Ex.        Ana. 

1.  0.1  '"• 

2.  1.3"^ 

3.  21.4  «»■ 

4.  0.01 '»- 

5.  0.38'"- 

6.  5.29"^ 

7.  0.001  ™- 

8.  0.048  ««• 
9    3.675'^ 

Page  177. 

10.  4,250  "^ 

11.  3,500°^ 

12.  23,500  «»- 

13.  9,460'"- 

14.  9,240"^ 

15.  397°^ 

16.  720™- 

17.  7.3™- 

18.  50"™- 

19.  67.678™- 

20.  649.115™- 

21.  415,9iK)"'- 

22.  5.26749  K'u- 

23.  35,000™- 

24.  86.62-^ 

25.  15,480™- 

26.  7lj'»- 

27.  73.50672  J^'"- 

28.  22.2075 '»■ 

29.  300  times. 

Page  179. 

30.  23.85  *'»•"'• 

31.  20™- 


Ex.        Ans. 

32.  $  8.40. 

33.  217.5"-;  2.175' 

34.  4,585.76  »• 

35.  $6,556^7. 

Page  180. 

36.  12.043044049^"- 

37.  153.41«'™- 

38.  $373.72^. 

39.  369.6  loads. 

40.  $29.25. 

41.  12™-;  $20.25. 

Page  18L 

42.  20  f, 

43.  $1.23. 

44.  75'- 

45.  39"'- 

46.  4.5™- 

Page  182. 

47.  $3.09. 

48.  $2.31. 

49.  135  grams. 

50.  5.4  T. 

Page  184. 

51.  157.4  ft. 

52.  31.0685  m. 

53.  44.478  A. 

54.  2.04724  in. 

55.  188.7137611). 

56.  6,340.08  gal. 

57.  22.046  T. 

58.  40.2325  ^nu 

59.  80.94  "»■ 

60.  2,265.36'- 

61.  15.087'"- 

62.  17.5065^'- 


KEY. 


17 


Ex.        Ans. 

Ex.        Ans. 

Sr.           Ans. 

63.  618.9-?-... 

32.  $4.00. 

62.  $5,729.75. 

64.  88  9056  K?- 

33.  $11,250,000. 

63.  3%. 

34.  25%;  50%;  17^%. 

64.  $1,200.00. 

Page  189. 

1.  $112.80. 

2.  $62.65. 

3.  1,240  men. 

4.  $0,108. 

35.  4%;  125%;  1%. 

36.  166§%. 
3^(931%;      94|^,. 

'X    89^%;  90|%. 

Page  196, 

65.  500  barrels. 

66.  20  acres. 

67.  2%. 

5.  90  days. 

Page  192. 

68.  30%. 

6.  14.28  lbs. 

38.  73,W%. 

69.  $637.80. 

7.  438,120. 

8.  1,500  ft. 

39.  b^\%. 

Page  198. 

9.  10,500. 

Page  193. 

70.  $1,101.50. 

10.  9,396. 

40.  $7,936.72. 

71.  $1,765.00. 

11.  $1.27. 

41.  $1,000,00. 

72.  $1,505.25. 

12.  131.4  ft. 

42.  $1.05. 

73.  $3,281  25. 

13.  45  in. 

43.  $5,970.00. 

74.  $3,615.00. 

14.  $8.32. 

44.  $2,400.00. 

45.  $7,000.00. 

75.  $8,903.50. 

Page  190. 

46.  $330.00. 

Page  199. 

15.  $1,600;  $480. 

47.  24|%. 

76.  $  1,468.25. 

16.  l,816|d.;  5,450  d. 

48.  $577.78. 

77.  $2,100. 

17.  627;  209. 

78.  $2,500. 

18.  4,000;  6,000. 

Page  194. 

79.  50%. 

19.  210;  294. 

49.  25%. 

80,  $205. 

20.  3^;  160. 

50.  37i%. 

81.  $258.75. 

21.  6,375. 

51.  $1.02;$1.44;$1.80. 

'I02j+i  =  103i 

82     ,4.86X6X103J_3^^. 

22.  $5,208;  $15,624. 

52.  6%. 

2.3.  $200.00. 

53.  128^%. 

100 

Ans.  $  30.07 
83  HM  =  0.97^1^ 
Ans.  97i^3  % 

24.  $1,488.00. 

25.  $214.29. 

26.  60/. 

54.  108^. 

55.  331%. 

27.  $500.00. 

Page  195. 

Page  200. 

28.  $  1,041.67. 

56.  $3.56. 

84.  $10.00. 

29.  $1,250.00. 

57.  $91,575. 

85.  $66.00. 

58.  $6.50;  $74.79. 

86.  $145.80. 

Page  191. 

59.  $8.50;  $161.50. 

87.  $81.25. 

30.  40  years. 

60.  $81.60. 

88.  1^%. 

31.  600. 

61.  $6,151.56. 

89.  $13.50. 

18 


KEY. 


Page  201. 

Ex.          Ans. 

Er.          Am. 

Ex.        Am. 

117.  $0.0807. 

147.  $3.33. 

90.  $24.31. 

118.  $500.00. 

148.  $16,000. 

91.  $2,297.10. 

119.  $18,000. 

ri02g  +  i  =  102.J 

120.  $500.00. 

i49>'\',:r-86 

Page  202. 

121.  $6,000.00. 

1        102i 

92.  \lf',  $188.50. 

122.  $96.00. 

123.  lOjS^^. 

Ans.  86  shares 
150.  $100. 

Page  203. 

124.  $608.30. 

151.  4%. 

93.  2^m.;  $8.75. 

125.  $  9,657.86  worth. 

Page  208. 

94.  $4,902.00. 

Page  206. 

152.  $  1,440.72. 

95.  $1,500,000. 

153.  20%. 

96.  18  mills. 

126.  $2,750. 

154.  15%;  5%;  lOf^ 

97.  $76.50. 

127.  8  shares;  $133rem. 

155.  $8.75;  5^ 

98.  $54.00. 

128.  $313.50. 

156.  $65,909.09. 

99.  $50.40. 

129.  $11,200. 

157.  30  shares. 

100.  $141.30. 

130.  $22.50. 

158.  $  12.00  loss. 

101.  $28.17. 

r  Specific,  $276.00 
131.  ;  Ad  val.    $   96.60 

(        Ans.  $  372.60 

159.  $1,008.09. 

102.  $  163  22. 

160.  $700. 

103.  $117.99. 

104.  $102.37. 

132.  $5,495.85. 

Page  211. 

105.  $194.27. 

133.  $400.00. 

1.  $207.36. 

134.  $2.00. 

2.  $41.56. 

Page  204. 

135.  $282.00. 

3.  $  156.20. 

106.  $714.00. 

(  96%  of  $450  will 

4.  $26.99. 

107.  $235.20. 

136. 1      be  given. 

(       Ans.  $  427.50. 

5.  $23.41. 

Page  205. 

137.  $250.00. 

Page  213. 

108.  $80.33. 

109.  $5.77. 

138.  $1,161.56. 
Page  207. 

6.  $0,076. 

7.  $0.242§. 

8.  $0.0201. 

110.  $36.38. 

111.  $3,830.40. 

139.  $373.50. 

9.  $0.00!)/.. 

(  Specific,  $230.133... 

140.  $  15,126.50. 

10.  $0.0665. 

112.  <  Adval.   $131.504... 

141.  $180.00. 

142.  $302.17. 

11.  $0.10. 

(       Ans.  $361.64 

12.  $1.00. 

113.  $238.99. 

143.  1%. 

13.  $0,473. 

114.  1^\%. 

144.  $40.00. 

14.  $  i:^..'.o. 

115.  0.01^. 

145.  $2.81. 

15.  $().;);"). 

116.   \l. 

146.  40%. 

16.  $325.08. 

KEY. 


19 


Ex.        Ans. 

17.  $21.82. 

18.  $161.64. 

19.  $230.33. 

20.  $1.66. 

21.  $59.79. 

Page  214. 

22.  $185.61. 

23.  $3.75. 

24.  $403.28. 

25.  $50.15. 

26.  $0.51. 

27.  $3.23. 

28.  $653.40. 

29.  $624.46. 

30.  $1,184.13. 

31.  $143.96. 

32.  $1,047.82. 

33.  $504.65. 

34.  $939.04. 

35.  $  165.30. 

36.  $408.95. 

37.  $937.37. 

Page  215. 

38.  $4.65. 

39.  $4.62. 

40.  $9.17. 

41.  $11.85. 

42.  $4.27. 

43.  $4.92. 

44.  $28.09. 

45.  $113.00. 

46.  $44.38. 

47.  $9.06. 

48.  $360.55. 

49.  S  18.90. 


Ex. 


50. 


51. 


r  Prin. 
Int.  . 

Anit. 
Payt. 

2d  prin 
Int.  . 

Amt. 


Page  218. 


$480.00     from  Oct.  12,  '73, 
9.20    to  Feb.  6,  '74. 


489.20 
120.00 


T.  3  mo.  25  d. 
Ratio,  0.019^. 


369.20     from  Feb.  6,  '74, 
12.18     to  Aug.  24,  '74. 

T.6mo.  18d. 
Ratio,  0.033. 


$381.38 


Alls.  $  381.38. 


Prin.      .$500.00     from  May  10,  '69 
Int.  .     .       40.50     to  Sept.  16,  '70. 

T.  1  V.  4  mo.  6  d. 


Amt. 


Int.  . 


Prin. 
Int.  . 


52.  i  Amt. 
Payt. 


540.50 


1st  payt.     140.00 


Ratio,  0.081. 


2d  prin.      400.50     from  Sept.  16,  '70, 
Int.  .     .       44.86     to  July  28,  '72. 


Amt.      .      445.36p.ly-10mo.12d. 
2d  payt.        50.00  ^  ^^^^^'  ^■^^'^^ 


3d  prin.      395.36     from  July  28, 


2.44     to  Sept.  4,  '72. 

T.  1  mo.  7  d. 
Ratio,  0.006^. 

Aqis.  $  397.80. 


397.80 


$  2000     from  June  15,  '73, 


2192 
1450 

$742 


T.  ly.  2  mo.  12  d. 


Ratio,  0.096. 


Ans.  $  742. 


20 


KEY. 


Ex. 


^  Principal, 
Interest,  . 

Amount, 
1st  payment; 

2d  princij)al 
Interest,  . 

Amount, 
2d  payment, 

3d  principal 
Interest,  . 

Amount, 
3d  payment 

Amount, 
Interest,  . 


Principal, 
Interest,  .    . 

Amount, 
1st  payment 

2d  principal 

Interest,  . 

Amount, 
2d  payment 

3d  principal 
Interest,  . 

Amount, 
3d  payment, 

4th  principal, 
Interest,  .     . 


%  1000.00     from  October  5,  1874, 
10.50     to  December  8,  1874. 
l^i^jT-2m.3d. 
125.00  '  ^^^i^'  ^-^l^i- 


885.50    from  December  8,  1874, 
22.73     to  May  12,  1875. 

908.23  i"^-^"^- ^^• 
316.00  ^  ^^^^'  ^•^2^^- 


692.23     from  May  12,  1875, 
10.96     to  September  2,  1875. 
T.  3  m.  21  d. 
Ratio,  0.0185. 


603.19 
417.00 


186.19 
5.80 

$191.99 


%  935.00 
20.88 


955.88 
125.75 


from  September  2,  1875, 
to  March  9,  1876. 
T.  6  mo.  7  d. 
Ratio,  0.031  J. 

Ans.  §191. 

from  September  1,  1875, 
to  January  15,  1876. 
T.  4  m.  14  d. 
Ratio,  0.022^. 


830.13     from  January  15,  1876, 
59.49    to  March  25,  1877. 
T.  1  y.  2mo.  lOd. 
Ratio,  0.071  §. 


889.62 
250.00 


639.62    from  March  25,  1877, 

4.80    to  May  10,  1877. 
■^^jT.lmo.lSd. 

300^00  ^  ^^«^i^'  ^-^^'i- 


344.42    from  May  10,  1877, 
85.59     to  July  1,  1881. 


430.01  P-^y-^"^«- 21  d. 
(  Ratio,  0.2485. 


.^/>i.,-.S  430.01. 


KEF. 


21 


Ex. 


"  Principal,    . 
Interest, .     . 

Amount, 

1st  &  2d  payts. 

2d  principal, 
Interest, .     . 

Amount, 


1425.00  from  July  13,  1869, 

85.28  to  Nov.  17, '72  (3 y.  4 mo.  4 d.   0.200§). 

510.28 

200.00  required  to  cancel  interest. 


310.28    from  Nov.  17,  1872, 
12.15    to  July  12,  '73  (7  mo.  25  d.     0.039i). 

$322.43  ^715.^322.43. 


56.  X 


Principal,    . 
Interest, 

Amount,     . 
1st  payment, 

2d  principal, 
Interest, 


%  800.00    from  July  15,  1870, 

42.47    to  Apr.  18, 1871  (9  m.  3  d.     0.053^^)- 

842.47 
100.00 


742.47    from  April  18,  1871, 

220.31    toJulyl4,'75(4y.2m.26d.  0.296lf). 


962.78 


2d  &  3d  payts.,       132.50 


%  830.28  Atis.  %  830.28. 

Page  219. 

f  Prin.  S  10,000.75  from  Oct     3  to  Dec.  3,  75  (2  mo.),  amounts  to.     .    §10,100.76 
672.41     "     Nov.    5  "  Dec.  3  (28  d.)  amounts  to    1675.55 


7,682.42    "     Nov.  15  "  Dec.  3  (18  d.) 

7,705.47 

437.98    "     Nov.  16  "  Dec.  3  (17  d.) 

439.22 

833.42    "     Nov.  19  "  Dec.  3  (14  d.) 

835.36 

Am.  %  445.16. 

$445.13 

Page  220. 

,200.00  from  April    1,  75,  to  April  1,  76  (ly.), 

.     .     .     $1,284.00 

161.08    "     April  12,  75,  "  April  1,  76  (11  mc 

.20d 

),$  172.04 

224.14    "     July   19,  75,  "  April  1,  76  (S  mo. 

13  d.^ 

,     235.17 

17.90    "     July   28.  75,  "  April  1,  76  (8  mo. 

4d.) 

.      18.75 

100.25     "     Jan.    29,  76,  "  April  1.  76  (2  mo. 

3d.) 

.     101.48 

Ans.  %  756.56. 

$756.56 

22 


KEY. 


Page  221. 

Ex. 

Ans. 

Ex.            Ans. 

90.  $197.04;  $2.96. 

59.  10  mo. 

91.  $167.69;  $8.11. 

60.  3  years. 

61.  ly.  6  mo. 

62.  ly.  4 mo.  12 d. 

92.  $650;  $11.37^.    . 

93.  $1,540;  $69.30. 

63.  5  y.  6  mo.  20  d. 

94.  $590.16. 

64.  5  y.  4  mo.  3  d. 

95.  $123.64. 

65.  1  y.  6  mo. 

96.  $1,533.85. 

66.  6  mo. 

Received  for  grain,  .  $1,050. 00 

r  100  y.  ;   60  y. ;    33  y. 
67.  <      4  mo. ;  16  y.  8  mo. ; 
(     lOy. 

97.  < 

P.  W.  of  $  1,500,      .      1,442.31 

■ 

Ans.  $207.69 

68.  8%. 

69.  2f%. 

Cost  of  books,  $  152.00 

98.  I 
i 

P.  W.  of  $240,   235.87 

Page  222. 

Gain,     .$83.87     Ans.  $S3.87- 

70.  4|%. 

71.  9%. 

Page  227. 

72.  Z\%. 

73.  2%. 

99.  $4.13;  $745.87. 

74.  bl%. 

100.  $18.08;  $981.92. 

75.  10%. 

101.  $8.20;  $291.80. 

102.  $14.(X);  $686.00. 

Page  223. 

103.  (Time,  95  d.)     $9.90;  $490.10. 

76.  %  125.00. 

77.  $100.00. 

Page  228. 

78.  $1,020.00. 

79.  $68.20. 

104. 

(Due  Feb.  28/Mar.  3.     Time,  G3  d.) 

80.  $72.00. 

$4.57;  $285.43. 

81.  $600.00. 

105.  $5.25;  $494.75. 

82.  $600.00. 

106.  $4.11;  $252.73. 

83.  $2,063.65. 

107.  < 

(Due  April  30/May  3.     Tim.'.  .^G  d.) 

84.  $400. 

$9.33;  $1,190.67. 

85.  $83.86. 

^Amount  of  $324  for  1  y.  3d. 

86.  $300.00. 

at  6%, $343.60 

87.  $200.00. 

Discount  of  $  343.60  f(.ri)9d. 

108.  - 

at  7%, O.fil 

Page  225. 

88.  $25;  $2.50. 

Avails, e  336.99 

89.  $97.08;  $3.88. 

^Ans.  $336.99. 

KEY. 


23 


Ex. 

Ex. 

Ans. 

'Amount  of  $4000  for 

132.  i 

1 2.86. 

6  mo.  3d.  at  10 ^,$4,203.33 

133.  i 

^  60.00. 

Disc'nt  of  $4,203.33 

109.  - 

for  88  d.  at  10%,   .    102.75 

Page  233. 

134. 

1  234.32. 

.        (     $102.75,  discount. 
^^"  (  $  4,100.58,  avails. 

135. 

^  915.71. 

136. 

I  85.16. 

Ans    Page  229. 

137. 

I  45.06. 

110.  $80.44. 

138. 

I  2,396.56. 

111.  $500.00. 

Page  237. 

112.  $1,500.00. 

Due.         Items.  Days.    Int. 

113.  $950.00. 

March  31,  $  400      0 

CBy  true  discount,  $178,571 

April  30,  .     300    30  $3.00 

114.  - 

1  By  bank  discount,    175.867 

139.' 

May  30,    .     200    60      4.00 

Am.   $2.70 

1  day's  int.of  $900  =  0.30)  7.00  (23 

r  Bank  discount  1       j^  178.88 
1  (Tune,  117  d.)            ^ 

.Mar.  31  +  23d.  =  Apr.  23.  Ans. 

115.- 

True  discount           I   iwi  -->/% 
(Time,  3  mo.  24 d.)    )    ^'^"^^ 

Due.            Items.  Days.      Int. 
Nov.  5,     .    $  800        0 

Ans.  <^7.83 

Dec.  8,     .       800     33   $8.80 

116.  $492.61. 

140.  - 

Feb.  3,     .       800     90    24.00 

117.  (Time,  34d.)     $497.17. 

1  day's  int. of  $2,400  =  0.8)  32.80 

Page  230. 

41 

118.  $506.00. 

^Nov.  5  +  41  d.  =  Dec.  16.  Ans. 

119.  (Time,  2  mo.)     $4.95. 

120.  (Time,  64  d.)     $5.33. 

Due.             Items.  Days.       Int. 
Sept.  10,     .  $  900       0             0 
Oct.    21,     .  2,250     41     30.75 

121.  $117.80. 

Oct.    28,     .  1,050     48     16.80 

122.  $421.38. 

141.- 

123.  $310.05. 

1  day's  int  of  $4, 200 =01. 4)  47.55 

124.  $33.33. 

33.9 

125.  $  1.20. 

.Sept.  10  +  34  d.  =  Oct.  14.  Ans. 

126.  $65.00. 

Due.              Items.  Mos.        Int. 

127.   ^^-^'^^^^^^-$1.85. 
(          9x4 

$430       0 
270       4  $10.80 
300       3        9.00 

Page  232, 
128.  $238.20. 

142. 

'   Imo.'s int. of$l,000  =  $10)  19.80 

129.  $426.03. 

1.98 
1.98  mo.  =  1  mo.  29  d. 

130.  $2,513.04. 

Ans. 

131. 

$  2,217.44. 

, 

.5  mo.  -f- 1  mo.  29  d.=6  mo.  29  d. 

24 


KE7. 


Ex.  Ans. 

143.  6  mo.  13  d. 

Due. 

May  10,  . 

July  15,  . 

July    3,  . 

145.  \  July  18,  . 

1  day's  int.  o 


Items. 

$200 
300 
520 
250 


I  144. 
Mos. 

0 
66 
54 
69 


Ans. 
15  rao. 

Int- 

$6.60 
9.36 
5.75 


$1,270  =  0.424)         21.71 


May  10  +  51  d.=  June  30. 


146.-^ 


Due. 
April  10, 
April  28, 
Ai)ril  29, 
July  7, 
July   12, 


j's,  int.  ol 


Items. 

$438 
254 
145 
300 
159 


Days. 
0 
18 
19 
88 
93 


51 
Ans.  June  30,  1876. 

Int. 

$1,524 
0.918J 
8.800 
4.929 


$1,296=0.432)         16.171i 

37 
April  10  +  37  d.  =  May  17.     Ans.  May  17,  1876. 

Page  240. 


Date. 
April  1, 
July  8, 


147.^ 


Dr. 

Items. 

$1,000 
119 

$1,119 


Days.    Int. 
0  0 

98  $3.89 


3.89 


Date. 
April  14, 
Aug.  10, 


Cr. 

Items. 

$1,393 
94 

$1,487 
1,119 


Days.     Int. 
13     $6.04 
131        4.10 


$10.14 
3.89 


Date. 
June    5, 
Sept.    5, 
Sept.  15, 


1  day's  int.  of   $  368  =  0.122) 

April  1  +  51  d.  =  May  22.     Ans.  May  22,  1877. 

Dr. 

Items.  Days. 

.  $400  0 

.      600  92      $8.40 

.      200  102        6.80 


Int. 


148. 


$1,200 
1,150 


$  25.20 
23.97 


Date. 
July  31, 
Aug.  7, 
Aug.  13, 


Cr 

Items. 

$250 
700 
200 


Days. 
56 
63 


6.25 
51 

Int 
$4.67 
14.70 
4.60 


$1,150 


$23.97 


1  day's  int.  of  $50=0.016§)  1.23 

"74 
June  5  +  74  d.  =  Aug.  18.    Ans.  Aug.  18,  1876. 


KEY. 


25 


Ex. 


149. 


Dr. 

Date. 

Items. 

Feb.  5,  . 

.  $600 

Apr.  8,  . 

.      420 

$1,020 
800 


Days 

Int. 

0 

0 

62 

$8.68 

$8.68 

Cr. 

Date. 

Items. 

Days.     Int. 

April   1,  . 

.  $500 

55    $9,167 

Mar.  16,  . 

.      300 

39       3.90 

$800 


1  day's  int. of  $220  =  0.073  J 


Feb.  5,  78  -  60  d.  =  Dec.  6,  77.    Ans.  Dec. 


77. 


150. 


Dr. 

Date. 

Items. 

Days.     Int. 

Oct.   19, 

.  $173 

25    $1,441 

Oct.   14, 

.      315 

20       2.10 

Oct.  18, 

.      230 

24       1.84 

Nov.  30, 

81 

67       1.809 

$799 

$7.19 

602 

0.612 

1  d.'s  int. 

of  $197= 

0.0651)  6.578 

Date. 
Sept.  24, 
Oct.    12, 


Cp. 

Items. 

$  500 
102 

$602 


$13.07 
8.68 

)  4.39 
60 

Days.     Int. 

0  0 

18     $0,612 


$0,612 


100 
Sept  24  + 100  d.  =  Jan.  2,  77.     Ans.  Jan.  2,  1877. 


151. 


Dr. 

Date. 

Items. 

April    6, 

.  $340 

Feb.  24, 

.      582 

May  21, 

.        85 

July  29, 

.  2,200 

$3,207 

1  d.'s  int.  of  $1,734  = 
Jan.  1  -  37  d. 


Days 

Int. 

95  $10,767  II 

54 

10.476 

140 

3.967 

209 

153.267 

$178.47711 

Cr. 

Date. 

Items. 

Days.       Int. 

Jan.     1, 

.  $361 

0 

Apr.  15, 

.  4,000 

104   $138,667 

Apr.    7, 

.      580 

96        18.56 

157.227 


$4,941 
3,207 


$157,227 


$1,734 
0.578)  21.25  =  36.7  d. 

=  Nov.  25.    Ans.  Nov.  25,  1877. 


Page  243. 
Ex.        Ans. 

1.  $808.00. 

2.  $2,505.00. 

3.  $703.50. 

4.  $1,960.00. 


Ex.         Ans. 

5.  $696.50. 

6.  $506.76. 

7.  $273.63. 

Page  244. 

8.  $2,430.00. 


Page  246. 
Ex,         Ans. 
9.  $4,840.00. 

10.  $106.80. 

11.  $109.60. 

12.  $47.50. 


26 


KEY. 


Ex  Ans. 

13.  $366.55. 

14.  ^2,000. 

15.  £400  10s. 

16.  $4,340.00. 

17.  $905.25. 

18.  $2,500.00. 
i  $  1,000  X  1 

19  )$  2,000  X  1 


Page  246. 


/ 


.10|-$  1,107.50 
.14   =    2,280.00 

Ans.  $3,387.50 

20.  $3,000  X  1.09|-$  3,277.50. 

Page  247. 

21.  $369.90. 

22.  2,Vj%. 
3  X  1.02^ 


23 


1.10 

Ans.   Mortgage  ;  ^  %  more. 

(  $225x4x100x105^  =  $  21  050 
24.^  4ixl00  ^      '       • 

I  Ans.  $21,050. 


25.  16§%. 

26.  $94.20. 
Piin. 
Int. . 

Amt. 
Payt. 


2d  pvin 
Int. . 

Anit. 
Payt. 

3(1  prin 
Int.  . 

Amt. 


27. 


$500.00    from  May  10,  1875, 

12.25     to  Sept.  16,  1875. 
-^j;7:jT.4mo.6d. 
^4Q  00  I  Katio,  0.024i. 

372.25  from  Sept.  16,1875, 
48.64    to  July  28,  1877. 

7;0-;^jT.ly.l0mo.l2d. 
50.00  <  J^«tio,  0.130§. 

370.89    from  July  28,  1877, 

2.596  to  Sept.  3,  1877. 
.,-.,  ,Q  S  T.  1  mo.  6  d. 
'''•'^  ^  Patio,  0.007. 

Am.  $373.49. 


Ex. 


Ans. 


29.  11  mo. 

30.  $600.00. 

31.  $  179.25. 

32.  $49.27. 

33.  $400.00. 

34.  $20.46. 


Page  248. 


43. 


44. 


45. 


35.  $2.06. 

36.  $99.50. 

37.  $1,308.74. 

38.  3  mo. 

39.  $1,251.13. 

40.  6  T.  772  lb. 

41.  $39.36. 

42.  $437.93. 

500  xl.07j  =  S  2,687.50 

Ans.  $  2,687. 50. 

Length,  2-2*5  yds. ; 

breadth,  ^^  yds. 
j  Com.  $  13.27. 
(Rem.  $530.73. 

46.  $43.75. 

47.  3^  mo. 

48.  b%  gain. 

Page  249. 

49.  $4,365.00. 

50.  $32.19. 

51.  31^%. 

52.  50  years. 

53.  $124.00. 

54.  $57.50. 

55.  $1.57. 

56.  8mill>*:  $16. 

57.  I?  :)<>•-'. 77. 


KEY. 


27 


f  Prin.     .  $2,500.00 
Int. .     .         273.33 


58.^ 


Amt.     .      2,773.33 
lst&2dpt.    550.00 

2d  prin. 
Int. .     . 


2,223.33 
23.72 


Amt.     .  $2,247.05 


^      Ans. 

59.  $3,754.00. 

60.  $400.00. 

Page  250. 

61.  (Time.  93d.)  $147.92. 

62.  (T.4mo.  10 d.)  $146.55. 

63.  $154.31. 

64.  $196.08. 

Page  252. 

For  answers  to  drill  ex- 
ercises on  Table  No.  8, 
see  page  78  of  this  Key. 

Page  255. 

1.  J^.  6.  ^. 

2.  ^V  7.  if. 

3.  ^\.  8.  7. 

4.  ^.  9.  6. 

Page  257. 

10.  850. 

11.  1,750. 

12.  736f. 

13.  3,250  tons. 

14.  35  hats. 

15.  $27.30. 

Page  258. 

16.  $70.      18.  $750. 

17.  $20.      19.  $7.13 


from  Sept.  5,  1875, 
to  July  1,  1877. 
T.  1  y.  9  mo.  26  d. 
Ratio,  0.109J. 

from  July  1,  1877, 
to  Sept.  5,  1877. 

i  T.  2  mo.  4d. 

\  Ratio,  0.010§. 
Ans.  $2,247.05. 

Page  269. 
Ex.         Ans. 

20.  31,680  feet. 

21.  2,500  bushels. 

22.  106i%feet. 

23.  15  cents. 

24.  l,076i|  times. 

25.  $4.66. 

26.  1  lb.  6^  oz. 

27.  23jdays. 

28.  5-f-  mo. 

29.  3  lb.  4^  oz. 

30.  9if  yds. 

31.  36  tons. 

32   n2:150=l:x. 
(        Ans.  12^  min. 

Page  261. 

33.  $30. 

34.  42  days. 

Ans.  $30.86. 

36.  26  miles. 

Page  262. 

37.  250  tons. 

38.  1931^  lb. 

39.  $49.25. 

40.  $  121^  rods. 


»l 


Ex.        Ans. 

41.  $933.33. 

42.  18  men. 

43.  54  days. 

44.  9,680  bricks. 

45.  1  T.  328|  lb. 

46.  5T.  8161b. 

Page  263. 

4^   (A's,  $1,875; 
*  (  B's,  $  1,125. 
4g   (  B's,  831  T.; 
(S's,  166fT. 

Page  264. 

fM.,  $570.53; 
'  N.,  $221.87; 

O.,  $316.96; 

P.,  $316.96. 

A's,  $  5,625 ; 

B's,  $  7,500 ; 
(  C's,  $  9,375. 
51.  $375;  $500;  $625. 

H.$500;B.$506; 
L.  $  480. 
I  X's,  $  332.50; 
\  Y's,  $  525. 

(-1,000x3  =  3,000 

450x3  =  1,350 

1,150x6  =  6,900 


49. 


50. 


52 


53 


54. 


11,250 


3,000x8  =  24,000 
3,300x1  =  3,300 
2,400x2=    4,800 

32,100 
R's  part, 

^^\,  or  $908.30. 

Fs  part, 

^,  or  $2,591.70. 

R's,  $  908.30. 
P's,$2,591.70. 


28 


KEY. 


Page  266. 

Ex. 

Ans. 

Ex.        Ant. 

Er.              Ans. 

35.  6.082... 

68.  0.9654... 

(  1,  8,  27,  64,  125, 

36.  2.321... 

69.  0.9546... 

l.<     216,    343,    512, 

37.  0.883... 

70.  3.986... 

I    729,  1,000. 

38.  1.414... 

71.  0.6463... 

2.  289. 

39.  0.3794.. 

72.  0.9718... 

3.  784. 

40.  5.059... 

73.  1.259... 

4.1^. 

41.  16.50. 

74.  332  in. 

5.  0.0289. 

42.  536. 

75.  6.349...  ft 

6.  3f. 

43.  94  ft. 

76.  41.07...  in. 

7.  104.04. 

44.  49  men. 

77.  51.89...  in. 

8.  3,375. 

45.  140  feet 

mQ   <  Without  cover,  $  5.86 ; 

9.  0.001728. 

46.  84. 

'^•■(  with  cover,  ^7.03. 

10.  14,641. 

47.  112. 

For  answers  to  drill  ex- 

11. ^. 

48.  87.63... 

rods. 

ercises  247  and  248,  see 

12.  0.03125. 

49  \  Length 
(  breadtl 

,  100; 

page  85  of  this  Key. 

13.  3.61. 

I,  50. 

Page  280. 

14.  272^. 

15.  5.76. 

50.  9.704  .. 

rods. 

1    (4j8q.ft.  =  48q.ft.248q. 
^•i     in. 

"~I  1  of  1.728 

16.  0.0576. 

stones 
must  form 

2.   103J  sq.ft. 

17.  0.004096. 

Page  271. 

18.  137. 

51. < 

a  square. 

3.  180  sq.  ft. 

4.  10,624  8(1.  ft. 

5.  19.52^yA. 

52. 

4.5  feet. 

ength,60ft.; 
idth,  45  ft. 

19.  901. 

Page 

276. 

Page  282. 

20.  93.7. 

53.  23. 

6.  75.3984  ft. 

21.  8.17. 

54.  46. 

7.  25.1328  ft 

22.  7.4a 

55.  7.4. 

8.  31.8309...  ft. 

23.  0.43. 

56.  98. 

9.  18.3478...  sq.  ft. 
10.  346.3614...  sq.  ft 

24.  234.1. 

57.  143. 

25.  2.237. 

58.  24.2. 

11.  44.8369...  rods. 

26.  60.47. 

59.  43.6. 

12.  12  planks. 

27.  A. 

60.  9.35. 

J  2  (  11X).5312  ft 
*  \  268  persons. 

28.  \l 

61.  9.405... 

29.  §,  or  0.666... 

62.  7.020... 

30.  0.529... 

63.  0.7067.. 

Page  283. 

31.  0.866... 

64.  0.928... 

14.  30  ft. 

32.  1.590... 

65.  V\f. 

15.  19.5  ft 

33.  2.723... 

66.  ^  =  f 

16.  18.330...  ft 

34.  2.924... 

67. 

3. 

5. 

17.  6,600  ft 

KEY. 


29 


Page  284. 
Ex.  Ans. 

18.  82.683...  ft. 

40  B  72 


19. 


20.4 


Ans.  A,20rd.;  C,  24  rd. 
'  276.099...  rods,  or  276.1..., 
if  roots  are  found  to  ten- 
thousandths;  thus, 

V/40^  + 60'-^  =72.1110... 
V^60^+57^=  82.7586.. 
V/o7^  + 36-^  =  67.4166.. 
^36^  + 40'^  =53.8144.. 


276.1006.. 


21. 
22. 
€3. 

24. 
25. 


21.213...  ft. 
23.043...  ft. 
39  inches. 
I  8.660...  ft.; 
(43.3...  sq.ft. 
24  ft.  ;  240  sq.  ft. 


Page*  288. 

26.  448  cu.  in. 

27.  216.5  cu.  ft. 

28.  907.5  cu.  ft. 


29. 


30. 


Page  289. 

V^12xl08  =  36 

(12  +  108  +  36)6  =  936 

Ans.  936  cu.  in. 
(81+108  +  144)8x4 


3x5 
710.4  X  4 


:=  710.4... 


568.32 


.       i  710.4  bu.  shelled; 
Ans.  {  ' 

(  568.32  bu.  unshelled. 
31.  40  sq.  yd.  8  sq.  ft. 


Ex.  Ans. 

32.  720  sq.  ft. 

33.  220  ft. 

(  11x11x3.1416x14 

34.  } 


=  5.7596 


2  X  2  X  231 
(  Ans.  5.7596  gal. 

35.  14.1372  sq.  ft. 

36.  18ft.;  1,060.29  cu.  ft. 

37.  51.051  sq.  yd. 

f  Area  of  top,  .     .     176.715 
Area  of  bottom,     113.0976 
Mean  pro.     .     .     141.372 


38. 


431.1846  X  6  X  1728 


4311846 
=  6,450.9696 


3  X  231 

L        Ans.  6,450.9696  gal. 

39.  3.1416  sq.  ft. 

40.  $42.98. 

41.  113.0976  cu.  ft. 

42.  144,109,433.16...  sq.  m. 

Page  290. 

43.  34f  yards. 

Page  291. 

44.  1,848  ft. 

45.  19.63495  rods. 

46.  125  gallons. 

47.  $0.93. 

48.  $  162.00. 

49.  $4.86. 

50.  9.071  in. 

Page  292. 

51.  18|f  oz. 

52.  3,188.046...  lb. 
14.68...  in.; 
6.349...  in. 
21603;  79123=  1  .y. 

Ans.  49.14...  bodies. 


53. 


54 


30 


KEY. 


Ans. 

1  :  1000=  79123  :ic8 
Ans.  79,120  miles. 

2  :  1  =  123  :  cc8 
Ans.  9.524...  in. 

57.  4.32  tons;   6.86  tons. 


Ex. 
55. 

56. 


58. 
59. 
60. 
61. 
62. 
63. 
64. 

65. 

66. 
67. 

68. 


Page  293. 
11^. 

0.7589... 
712^;  1,187^. 
22^;  5;  17^. 
10,000  lb. 

S's,  %  389.50;  L's,  $  1,046.00. 
6,436,343;  884,736. 
(961;  39  rem. 
(  31  on  each  side. 
3,233.32...  ft. 
lOf  ft. 
20  ft. 


'15.708x160 


28.2842. 


V'     3.1416 

28.2842  X  2  X  3.1416  =  177.71528... 

31.2842X2X3.1416  =  196.56488  .. 


Sum,  374.28016... 

Ans.  374.28...  rods. 


(       5  X  231 
70.  \  25  X  3.1416 


=  14^^ 


Ans.  14jf  in. 


71.^ 


V^rT(W=ll| 
14  X  3.1416  xll§. 


256.56. 


Ans.  256.56...  sq.  ft. 


72.  i  hour. 

Page  295. 

73.  227 J  lb.  77.  1,900. 

74.  16.\.  78.  32.249...  ft. 

75.  3o'^V  '^^'  S  5,274.84. 

76.  375  barrels.  80.  %  6,080.00. 


Ex.  Am.  Ex.  Ans. 

81.  f  84.  2h.  24  m. 

82.  $95,388.75.  85.  120  shares. 

83.  44lf%. 

Page  296. 
86.  4  dozen. 

Trae  discount,  $12.04 
Bank  discount,    12.658 


87. 


3  0.618 
Ans.  $0.62. 

88.  $803.19. 

89.  Face  of  note,  $303.19. 

90.  $1,593.00. 


$1355.75x227 


$771.32. 


=$1,584.43. 


746.286. 
Ans.  746.286  ft. 


Item. 


Time. 
31 


94.^ 


Due. 

JS77- 
Sept.  17.  .    .8  200 
Aug.  17,  .     .     500 
Sept  17,  .     .     300        31 


Int 
82.066 


1  day's  int.  of  1,000 


3.10 
0.333    )  5.106 
16 


Aug.  17  +  16  d.  =  Sept.  2. 

Ans.  Sept  2,  1877. 

95.  131°  20'  38"  W. 

Page  297. 

96.  $41.50. 

97.  40,882i  bricks. 

98.  6.2832  in. 

99.  Ih.  29m.  18^ s.  P.M. 
A's  loss,  $13,750; 
B'a  los.s,  $11,000; 

100.  -I  c's  loss,  $8,250. 
C  iwys  A,  $8,250. 
Bimys  A,  $3,000. 


KEY, 


Ex.          Ana. 

Ex. 

Ans.                   Ex.        Ans. 

101.  $12  gain. 

29. 

68^6-                 32.  2,525Je- 

102.  $2.59f 

30. 

52^V                33.  3,751,V 

31. 

915yV 

Page  298. 

1  6 

|'V/12.75  =  3.5707 

Page  306. 

,  .,.-,   1  (3.5707 X  4  X  16J)  +  (7 x4)  =  263.6662 (ft.) 
263.6662  x  7  x  5  =  9228.41. 

Ans.  $92.28. 

34. 

830  links. 

35. 

0.45  ch. 

36. 

11.56  ch. 

104.  94.0032  gal. 

37. 

72.2  rd. 

105.  $5.07. 

38. 

129  rd.  1.32  ft. 

106.  Gained  $0.71. 

39. 

93  rd.  14.52  ft. 

107.  19  T.  1,3751b. 

40. 

150  acres. 

^^g  (Length,  6.697...  ft. 
*  (Diameter,  5.640...  in. 

41. 

108  acres. 

42. 

7.0448  acres. 

(0:138  =  480:. 

43. 

111.32854   acres. 

(          Ans.  2  miles  480  feet. 

Page  310. 

Page  301. 
1.  3,564. 

44. 

$80.15.            46.  $250.82. 

2.  263,736. 

45. 

$  42.59. 

3.  579,942. 

Page  315. 

4.  368,373,159. 

(    18X100=20 

5.  69,999,993. 

1            9  0               ^^ 

6.  244,510. 

47. 

]^¥o¥-^-24 

7.  3,558,220. 

(                         Ans.  24/. 

8.  54,931,835,204. 

48. 

3  more. 

9.  26,496;  13,248. 

49. 

(  16|days ;  50  miles  east  of  the 
(      point. 

10.  330,399;  195,792. 

11.  231,660;  308,880. 

(  ap^xjJ)o  =  50 

^2   i  2,772,605; 
■  (  7,561,650. 

50. 

]  M  =  i  =  50% 

(                       Alls.  50  fo 

Page  302. 

51. 

$1,800.00. 

13.  621.                  21.  11,025. 

(  5x30  =  150 

14.  616.                  22.  30|. 

52. 

<  150-^25  =  6 

15.  1,209.               23.  72^. 

(                Ans.  6  bushels. 

16.  2,025.               24.  132J. 

17.  3,024.                25.  182|. 

53 

r  34.10x125^ 
100x1.10           ^ 

18.  7,221.               26.  9,900|. 

oo. 

38|-31  =  7f 

Ans.  7|  gai. 

19.  3,025.               27.  272 J. 

20.  7,225.               28.  39^. 

54. 

28%. 

32 


KEY. 


Ex. 


55. 


56. 


Ans. 


X  100x3 
75 


^36,  cost  of  the 
whole. 


36x1.08^-9  =  30 

Ans.  $30. 
r  $24x2x100 


120 
$24x2x100 


140 
$60 


57. 


58. 
59. 


60. 


80 
100-96  =  4 

Ans.  $  4.00  loss. 
'  If  -^  of  1st  part  equals  f  of 
2d  part,  all  of  the  1st  part 
must  equal  ^^  of  2d  part. 

Ans.  12  and  40. 
237^V  cu.  yd. 

Page  316. 

\  Avails  of  note,  $  108.84. 
I  Ans.  $181.40. 

f  Prin.   $1,000.00 
Int.  .  80.00  T.  1  y.  (0.08). 


61. 


Amt.      1,080.00 
1st  pyt.     200.00 


2d  prin.     880.00 

Int.  .  70.40  T.  1  y.  (0.08). 


Amt. 
2d  pyt. 

3d  prin. 
Int.  . 


950.40 
200.00 

750.40 
60.032  T.ly.  (0.08). 


Amt.         810.432 
3d  pyt.      200.000 


4th  prin.   610.432  ,  m  i       r  ^ 
T,  .  ^  A  TiQ  \  T.lm.5d. 

Int.  .  4./48]j^Q^Q^.j^ 


I      Jus.  $615.18 


Ex. 
62. 


63. 


Ans. 

4.12x110 


4.40 


1.03  X  100 

Ans.  $4.40. 
Area  of  large  end,    7.0686 
Area  of  small  end,   4.90875 
Mean  proportional,  5.8905 


64. 

65. 
66. 

67. 


17.86785 

17.86785X6X62^X0.06  =  4,020.26... 

Ans.  2T.  20.26...  lb. 

402  X  3.1416  =  5,026.56 
(Wx  3.1416  =  4,417.875 


608.685 
Ans.  608.685  sq.  ft. 
V^3'-^  + 33-^  =  33.136... 

Ans.  33.136...  miles. 
$  825.00. 
r$  87.50x85 

100 — ==^^^*- 

$  87.50  x34J 

Too =  S^^^- 

$  87.50  x34ix  100 


100  X  87.50  X  85 

Ans.  40^^%. 


40H%. 


v/^ 


q2 

1  =  5.196.. 


180  feet. 


70. 


$  481.60    from  June  8,  76, 
69.59    to  Nov.  4,  77. 


Prin. 
Int. 

Amt        651  10  '  T.  2  y.  4  mo.  27  d. 
mpayt?8t^^^tio.  0.144^. 

2d  prin.  370.59 

Int.    .      11.056    to  May  3,  78. 

2d  i^ayt.  240.80   ^  ^^'°'  ^-^^l 

8d  prin.  140.846 

Int    .        3.145    to  Sept  17,  78. 

2,889.60  - 143.99  =  2,745.61. 
Ans.  $2,715.61. 


KEY. 


33 


Page  317. 

Ex.                           Ans. 

Ex                           Ans. 

103.  $3.95^2^  or  $3.951.... 

71.  $797. 

104.  1,879;  $44.22. 

72.  48mf|^  A.  01-481.668...  A. 

105.  Check  $  1,506  ;  unpaid  $  194 

73.  1,944  feet. 

106.  $44.64. 

74.  3|  miles  or  3.375  miles 

75.  45^%°  or  45.5°. 

Page  320. 

76.  789  persons. 

107.  Mr.  Searle;  $55.47. 

77.  59  persons. 

108.  $513.56. 

^g    (  631,580  salmon. 
*   (  12,000,020  pounds. 

109.  $6.37. 

110.  $277.56. 

79.  1891. 

111.  $265.57. 

80.  789  whales. 

112.  Gain  $16.75. 

81.  $3,256,959. 

113.  $22.84. 

/  425  at  54)^  =  $229.50 

Page  318. 

114.  }  250  at  36  f=       90.00 

82.  94  seats. 

(                 Ans.  $319.50 

83.  806.505  yards. 

115.  $3. 

84.  323.21  acres. 

Page  321. 

85.  2.578  meters. 

116.  $295. 

86.  $10.33. 

117.  $1.25. 

87.  38.25/'. 

118.  $8.37. 

88.  7.166...  ponnds. 

119.  $5.14. 

89.  72  lbs.;  180  lbs.;  3157.2  lbs. 

120.  $  1,619.85. 

90.  253.51...  tons. 

121.  $35.16. 

gj    (1,136.28...  lives. 
'   (  101,117.43...  tons. 

122.  $34.83. 

123.  $1.14  ;  amt.  of  bill,  $8.86. 

92.  1  hour. 

93.  $3,377.50. 

94.  $0.42. 

Page  322. 

124.  $2.81. 

125.  8^1  feet. 

Page  319. 

126.  $6,970.85  worth. 

95.  $28.26. 

127    iH^-¥  =  15,frem. 

I  Ans.  15  pairs ;  2J  yds.  left 

96.  $1.75. 

97.  $33.21. 

128.  36^. 

98.  $3,595.20. 

129.  $9.18. 

99.  $54.60. 

130.  20  rows. 

100.  $5,832. 

131.  $1.12^. 

101.  $0.08^01  $0,085. 

132.  6^%  niiles. 

102.  $4.44. 

133.  $210. 

34 


KEV. 


Ex.                    Ans. 

Ex.                             Ans. 

134.  $  17. 

165.  5,643.5}  or  5,643.514... 

135.  11 1  yards. 

166.  8.5675. 

136.  $69.35. 

167.  7.2  hours. 

137.  5,456^1  gallons. 

Page  325. 

^  (2^  X  5)  X  2  X  8  =  2.00 

138.  }            33  X  3  X  2  =  1.98 

(                         Ans.  $3.98 

168.  2,262f  steps. 

169.  7iilbs.  or71bs.  9tVoz. 

170.  48  cups. 

Page  323. 

171.  2  reams  12  quires  2  sheets. 

139.  73;^;  $1.02. 

172.  ^Vf  ;  $0.000625. 

140.  23|  miles. 

141.  5f  hours. 

142.  36f  miles ;  2-^%  hours. 

143.  lO^Vir- 

144.  ^V;  $2,333.33... 

145.  U^. 

146.  1  If  hours. 

173.  3bu.  Ipk.  2f  qt. 

174.  45/'. 

175.  $57,600. 

176.  4f  qts.  or  4.2857...  qts. 

177.  4lf  qts.  or  4.987...  qts. 

178.  $10.56. 

179.  $8.25. 

147.  $2'.0473 

180.  $25  99. 

148.  ^\  of  a  clay. 

149.  $4,266.67. 

181.  $370.80. 

182.  $4,628.25. 

150.  $0.27Jf  perdoz.. 

183.  .198  cu.  ft. 

151  jVx¥- =  ¥-;¥+'! 

A-a^x^iii  =  40.      Ans 

=  ¥; 

40  ft. 

184.  $1.11^. 

185.  3lHiniles. 

186.  2688.403— m.;  3535.997,..! 

Page  324. 

187.  180  slats. 

152.  $0.04f 

153.  0.908  quart. 

Page  326. 

154.  29.99i. 

188.  $1,069.20. 

155.  $6.21. 

189-  56,940  times. 

156.  $49.88. 

190.  267  d. ;  32  m.  29  d. 

^gy    {  4,201^8^  marks  or 
(4,201.68...  marks. 

191.  41^^*'  or  $0.415... 

192.  $47.42. 

158.  $2,807,000. 

193.  $2.87^. 

159.  4ffbu.  or  4.537...  bu. 

194.  !?  19.44. 

160.  In  9^  h.or  9  o'clock  20 

min. 

ID.").   Siil.L'!). 

161.  0.2151. 

19(5.  $  15.40. 

162.  iLiJLJiL^y<_liiii  =  700,7 

Ans. 

197.  $17.37. 

163.  Boy  1.1  Of  oz.;  man  2. 

21foz. 

19S.  .^^:»:).i  t ;  .9  001.18. 

164.  7ijor0.013^V 

199.   (J  ncku'k  1  m.  j  s.  p.  M. 

.m. 


KEY. 


35 


202. 


207. 
208. 

209. 
210. 


Ex.  ^ris. 

200.  10  o'clock  55  m.  37|  s.  p.  m. 

201.  4  o'clock  19  m.  31 1  s.  P.  M. 
3  o'clock  47  m.  36-|-  s.  a.  m- 
of  the  next  day. 

203.  47°  18'  30"  W. 

204.  79°  30'  W. 

Page  327. 

205.  11  T.  5001b. 

206.  96^%5j>_8^\  l3^^.  or  96.427 . . .  bu. 
lffti^ft.orl.555...ft. 
2,430  bricks. 

ri94,444A sq.ft.;  4||ff  A. 
(  or  4.4638...  A. 
159f  sq.  ft. 

211.  $5.28. 

212.  2,160  bricks. 

213.  4,176  tiles. 

214.  15,052  sq.ft. 

215.  12^Y5\  ^'  or  12.306...  A. 

216.  1  h.  29f  m. 

217.  2f  tons. 

218.  l,808^Wtl.orl, 808.449... cd. 

Page  328. 

219.  90|feet. 

220.  321^  yards. 

221.  66,000  tons. 

222.  4\l  miles,  or  4  m.  220  rd. 

223.  18|f  ft. 

224.  $5.38. 

225.  $114.94. 

226.  12^Vo>^- 

227.  3364fgal.;  IiWt  qt. 

228.  $1,356. 

229.  5,041 1  cu.  yds. 

230.  487yVlb3. 

231.  64f  lbs. 


Page  329. 

Ex. 

Ans. 

232. 

70,000  times. 

233. 

a  1,680. 

234. 

166f  minutes. 

235. 

3.6  ^■"• 

236. 

240,000  ••;  240,000  K- 

237. 

7,920,000  trees. 

238. 

7lf  ""-or  71.428...  <^«>- 

239. 

$7,500. 

240. 

17,500  sq.  :n. 

241. 

10,000  S' 

242. 

3.4335  K- 

243. 

8.736^- 

244. 

4.502^  metric  tons. 

245. 

0.41896  ^■ 

246. 

52.5^^  ;  $183.75. 

247. 

39.67875  lb. 

248. 

99.4192  miles. 

Page  330. 

249. 

$299. 

250. 

30.06%. 

251. 

44|%. 

252. 

3i%. 

253. 

$72,000. 

254. 

258.72  lbs. 

255. 

151||  lbs. 

256. 

2|M%- 

257. 

A  76  %  ;  B  19  %. 

258. 

811H%- 

259. 

10  ^ 

260. 

$17,203  20. 

.261. 

5,110  lbs. 

262. 

$733.17. 

263. 

2,300  laths. 

Page  331. 

264. 

50  j^. 

265. 

$76. 

36 


KEY. 


Ex. 

266. 

267. 

268. 


270. 


271. 
272. 

273. 

274. 
275. 
276. 

277. 


278. 
279. 

280. 

281. 

282. 
283. 
284, 
285. 


287. 
288. 


Ana, 

75/. 
8150. 

$  260,024.50. 

8  53.90  com. ;  %  926.10  net. 
ril2    >i  17=  1,906.12^ 
137}  X  10  =  1,372.50 
24|  X  23  =     554.87  J 
5  =     622.50 
12  =     357.00 


124  X 
29f  X 


%  of  $4,8 13.00  = 

$12.03,  Ans. 
$19.80. 

( laM^xjLoii  ==  1 1^250. 
(  Ans.  $  1,250. 

(iii.iLi^x^^x_L(i^  ^2,000. 
\  Ans.  $2,000. 

^^T¥F^  =  98.    Loss  2%. 

i%. 
$9,333.33... 

Page  332. 

$32.81. 

(  M^Q.  +  32.81  =  907.81. 

\  Ans.  $907.81. 

I  iiii|JLa -32.81  =  2,592.19. 

(  Ans.  $2,592.19. 

[  1  -  O.OOf  =  0.99375. 

\  1800 -j-0.99375  =  181 1.32... 

(  Ans.  $1,811^2. 

$5,984.38. 

3/-;  $135. 

$45.99. 

2,600  fr. 

<  Cost,  $10,158.75; 

($  100.91};    $194.06f 

$  309.50. 

$856.42. 


Ex.  Ana. 

289.  $0.00000024f. 

290.  $  866.88  ;  $'l,542.29. 

291.  $69.53. 


292. 


293. 


294. 


Page  333. 

By  exact  days,  $35.51 

By  common  method,  .35.25 
Ans.  $0.26 
48  -  31.20  =•  16.80  saved. 
iffO  =  0.56.     Ans.  56  %. 

Prin.  .  8475.00  from  May  4,  1879, 
lut.     .         5.36  to  July  2,  1879. 

Amt.  .     480.30       (T.  1  m.  28  d.) 
Payt.  .     100.00 


2d  prin.  380.36  from  July  2,  1879, 
Int     .         6.58   to  Oct.  1,1879, 


Amt.  .     386.94 
Piiyt.  .     100.00 


(T.  2  m.  29  d.) 


3d  prhi.  286.94   from  Oct.  1,1879, 
Int.     .       10.04  to  Apr.  1,  1880. 


295. 
296. 

297. 

298. 
299. 
300. 
301. 

302. 

303. 
304. 
305. 


Ans.  *  296.98. 

Jan.  22,  1881. 

i5o^x_A  ^  13 J.  Ans.  13 y.  4m. 
fl  JLii^-x_iJi  =  0.0645. 

Ans.  6^«5%. 
$403.23. 

9^1.12  =  8.04.  Ans.  $8.04. 
$4,347.00. 
$  392.65. 

($l-$0.0180f  =$0.9819}. 
)  $400^  0.9819}  =407.37. 
(  Ans.  $407.37. 

$117.67. 
July  9. 
4  m.  10  d. 


Page  331 

306.  Nov.  15. 

307.  June  3. 


KEY. 


37 


Ex. 


308. 


Ans. 
Dr. 

Prin.  Int. 

$476.93  $14,467 
869.82     23.050  

Amount  .11,384.27 

Cp. 

$389.51  $10,192 
379.84       8.610 

Amount    788.15 


309. 
310. 

311. 
312. 

313. 

314. 
315. 
316. 
317. 


318. 
319. 
320. 

321. 


322. 

32.3. 
324. 
325. 
326. 
327. 
328. 


Ans.  $596.12 
i0  4s.  1.317— d. 
5fr.  18.135 — centimes. 
(  25  fr,  21.503—  centimes  ; 
(  9.518...  d.  or  9d.  2...  far. 
(  15  s.  10.325...  d.  or 
i  15  s.  10  d.  l...far. 
{  235,294i\  fr.  or 
C  235294.1 18- fr.; $15411.76 
$7.06. 
$7,299.75. 
$41.69. 
$699.20... 

Page  335. 

$3,397.26. 

$727.27... 

$32,137.50. 

5  -^-^--\|-i^  =  126^V 

1  Ans.  $126^^  or  $126.3111 

(  The  latter  ; 

<  The  7  per  cents  yield  6-i^j  %  ; 

(  The  6  per  cents  yield  6:f6_  ^^. 

6%. 
98  men. 
43|  doz. 
$13.01. 
$525.39. 
67  ft.  2i|  in. 


Ex.  A  ns. 

329.  5o.o^6_x_.3jLa  ^  450. 

330.  26  miles. 

331.  5  oz. 

332.  $24. 


$450. 


333. 
334. 
335. 
336. 
337. 

338. 

339. 

340. 

341. 
342. 
343. 


Page  336. 

3^1^  d.  or  3d.  Oh.  3f  m. 

75fyds. 

34f  days. 

5,880  lbs.  or  2  T.  1,880  lbs. 

$329.18. 

A.  $14.25;  B.  $7.50; 

C.  $5.25;  D.  $7.50. 
$8,445.95;  $4,054.05. 
\  Their  shares  are  as  2,l,and  6. 
"l  A.$432;  B.$216;C.$1296. 

1st  half  $1,627.50  each; 

2d  half  $  813.75  each. 
$1,192.22. 
j  T.  $  2,659.04  ; 
i  V.  $  2,905.96. 

Page  337. 


344.  361. 

345.  3.61. 

346.  0.0361. 

347.  6.275025. 

348.  1.012048064. 

349.  0.00000081. 

350.  4|f. 

351.  301. 

352.  272^. 

353.  ^V^. 

354.  mf 

.355.  1.21550625. 
.356.  79. 
.357.  97. 

358.  40.410... 

359.  140. 

360.  44.2718... 


38 


KEY. 


Ex. 

Ans, 

Ex.                          Ana. 

361.  800.562... 

392.  1.040... 

362.  6.634. 

393.  8.005...  miles. 

363.  0.075... 

394.  342  ft.  3...  in. 

364.  607.5. 

V/6075    = 

77.942... 

Page  338. 

^41616  = 

:204 

395.  37.8^'"- 

396.  4.3.634...  sq.ft. 

365.  . 

281.942... 
•218.382... 

397.  The  first  by  7.249...  sq.  ft. 

398.  2.211...  yards. 

V/6075  + 41616  = 

Ans.  63.560... 

399.  100  feet. 

366.  ^. 

400.  50  ars. 

367.  3.023... 

401.  8.49  acres. 

368.  4^. 

402.  90  feet. 

369.  4- 

403.  102.87  acres. 

370.  f 

/  Area  of 

371.  10.025... 

\  1st  triangle,  101.1074...  A. 

372.  H. 

^^^-  pd  triangle,     57.6152...  A. 

373.  ^\. 

^              Ans.  158.7226...  A. 

374.  5.039... 

405.  62.832  feet. 

375.  0.379... 

406.  11.459...  feet. 

376.  |. 

407.  63.617...  sq.  yd. 

377.  2^. 

378.  3^  feet. 

Page  339. 

g^g    5  120  slates  in  len 
c  60  slates  in  wid 

\  70  trees  in  widt 

gth; 

408.  155.330...  rods. 

th. 

.'th; 
h. 

409.  ^,-^S'i'It^  =  25.4647... 

/           Ans.  25.4647...  sq.ft. 

381.  34. 

^ 

382.  4.7. 

(  R2  =  4^1  =  800. 
410.  ^800  X  3.1416  =  2513.28. 
I  2,513.28sq.ch.or251.328A. 

383.  0.07547... 

.384.  16.01... 

385.  4.3. 

411.  24  sq.  ft. 

386.  1.308... 

412.  52  sq.  ft. 

387.  0.6463... 

413.  62^  sq.  ft. 

388.  1.856... 

414    5  ('^  ^  ^  +  ^  ^  ^)  "^  ~  surface  in 
*  (inches.  Ans.2sci.ft.96sq.in. 

389.  0.9283... 

390.  2i. 

415.  260  sq.  ft. 

391. 

0.4261... 

416.  400  cu.  ft. 

KEY. 


39 


Ex.  Ans. 

(  123:  103  =  400:231.481  + 
417.  }  400  -  231.48]  =  168.519— 

^  Ans.  168.519— cu.  ft. 

Note.    Ex.  417  may  be  solved  without 
using  the  answei*  to  the  416th,  thus  : 
122 :  102  =  102  :  69|,  area  of  upper  base. 
Vo9J  X  100  =  83^,  mean  of  bases. 

5(i^tl|^+J|^^)x5  = 

(.20.555...   Ans. 20.555— cu. ft. 

2.2619...  ^q-" 

5  [Slant  height,  1.044..."^] 

(0.9839...  sq"^ 

615.7536  sq.  in. 

[Height  16f  ft.]  2727.08^cu.ft. 

5  [Slant  height  19.1049...  ft.] 

1.840.279...  sq.ft. 

1,767.15  cu.  in. 


418. 

419. 

420. 

421. 
422. 

423. 
424. 


Page  340. 

425.  23^  yds. 

426.  25  yds.;  $31.25. 

427.  39  yds  ;  $  87.75. 

428.  $50.25. 

429.  228 sq.ft. 

430.  118  sq.ft. 

Page  341. 

431.  27  sq.  ft. 

432.  335  sq.ft. 

433.  $  15.94. 
I  +  1^-^ 

¥-xV-  -■=  5.91 

434.  \  5  %  off  =  0.30 

5.61 
Ans.  15.61. 

435.  42.566. . .  .sq.  ft.     13  people. 

436.  3  yds.  3  in. 


3tl-3-X^  =  6| 


Ex. 


437. 


438. 


439. 


Ans. 

'  The  number  of  sq.  ft.  in 
concrete  Avalk  equals  the 
length   of   the    diagonal 
X  10,  less  4  half-squares 
each  of  which =^-|-5-s(j.  ft. 
V/l60x2x272|  =  2951.6 
(2951.6  X  10-  50)  X  0.08  = 
232.128.      Ans.  1232.13. 
(2f +  3^)-^2  =  av.length. 
Ans.  $  10.94. 
2|  -  I  =  length  of  shorter  side. 
Ans.  $4.55. 


1/ 


440.  2f  bii. 

441.  I  v/^ii%o^o.o_x_a  =  201.801 .. . 
^  Ans.  201.801...  ft. 

442.  14,453,333^  «'• 

Page  342. 

443.  438.4  times. 

C  Burt's  2,192.18  revolutions 

444.  }  John's  1,867.41  revolutions 

f       Ans.  324.8 —  more  rev. 


445. 
446. 


nh'o'S^'j'dh  =  756.2. 
Ans.  756.2  revolutions. 
1,008.4...  revolutions. 
Query  for  pupil.     How  can 
the    446th   be   solved   by 
using  the  answer  to  the 
445th? 

The  work  of  this  can  l)e 
considerably  shortened  by 
cancelling,  thus  : 


447. 


S/: 


A 
3.1416 


3.1416  = 


^/ 


A  X  3.14162  X  4 


Ans.  $443.11. 


40 


KEY. 


Ex. 

Ans. 

448.  $500. 

449.  42.41...  cu.  in. 

450.  214.86...  bbls. 

451.  •! 

(30*-^  +  352  +  30  X  35)  X  3.1416  x  6  x  1000 

1 00  401  rt  HL 

3  X  100 

—  iyy,4yi.D™* 

( 

40008  X  3.1416  x  4  x  52808 

X  125  X  5.6 

■117  ^'V,  4. 

452.  \ 

3  X  2  X  2000 

■      —  Weignt. 

( 

Ans.  6,905,727,150,981,120,000,000  tons. 

453.  1 

162  :  4«  :  =  96  :  6. 

Ans.  6  hours. 

Page  344. 

454.  ■ 

958:  508=  245:  35.719... 

468.  $74.69. 

Ans.  35.719...  tons. 

469.  0.96  in. 

455.  • 

1  :  125  =  30^  :  the  cube  of 

470.  $27.70. 

the  height.    Ans.  150  ft. 

471.  $2,080. 

( 

'4.858:303  =  85:  weight  in 

472.  $0.57^. 

456.  < 

lbs..       j  10.058...  T.,  or 
-        ^'''•h0T.ll6:7...1b. 

473.  140,625  lbs.  or  70  T.  625  lbs. 

( 

474.  $0.10. 

475.  $130.44... 

Page  343. 

476.  Loss,  130;  $3,833.33. 

457.  $100. 

458.  20,000,000,000  matches. 

Page  345. 

459.  $0,114. 

/Cost,   $28,800;    proceeds, 

460.  $915.56. 

477.  }      $102,105. 

461.  $39,060. 

(               Ans.  $73,305  left. 

462.  58^1^%. 

478.  57fH-%. 

463.  i 

K)  pages. 

{       COOdOOOO  X  36  X  36  X  36           432 

464.  ^ 

479.    s   1375000  X  IGOX  2724x12x12  ^1331 

(  Ans.  ^^^in.  or  0.324...  in. 

1 

110%  X  100x100         ,„,,„^ 

97ix9o    -125m 

465.  < 

480.  1356^^6^  .yr.or  1356.639. .  .yr. 

Ans.  25^%. 

481    (  79,129|||f  yrs.  or 
'  179,129.591...  yrs. 

466.  66flbs.;  26f  lbs. ;  206|lbs. 

467.  8  feet. 

482.  $11.18. 

Due. 

Days.             Discount.              Proceeds. 

$500         Nov.  17/20, 

159           $12,146           $487,854 

750         Aug.  23/26, 

73                8.365             741.635 

483.  ^ 

254         Sept.  30/oct.  3, 

111                4.307              249.693 

435         Aug.  6/9, 

56               3.722             431.278 

1,910.460 

^ 

Ans.  $1,910.46. 

KEF. 


41 


Ex. 
484. 

485. 
486. 
487. 
488. 

489. 


490.  J 


Page  346.  Ex. 

Ans. 

5  oz.  18  pwt.  18  gr. 

13pvvt.  ie^gr.;  U^\\\  %.    499. 

$  38,000. 

1,544,400  lb.  or  772  T.  4001b. 

$4.69. 

C  0.000375  X  7  X  24  X  60 

C  3.78  mill,  or  3  min.  46.8  sec. 

r     Due.  Item.  Days.  Int. 

May  28,  $100  0  $0.00 

Julys,  250  36         3.00 

Aug.  31,  150  95  4.75 

Sept.  26,  200  121  8.06§ 

Nov.  30,  400  186  24. 80 


491. 


492. 


493. 


494. 


495. 


496. 

497. 
498. 


3)  1.100  (0  36S     )  40.61g 

110.7 

May  28  +  111  days  -  Sept.  16. 

Axis.  Sept.  16,  1879. 

^[Amt.  of  $1200  for4yrs. 

Hl488.]     Ans.  The  latter, 

(     $12  more. 

5  $800 +  $144  +  int.  of  $48 
i  for  3  yrs.  =  $952.64,  Ans. 
r  Amt.of$  1500  for  5y.  =  5850 
)  9000  -  5850  =  3150. 

/  ¥500    -   ^'t^' 

^  Ans.  $3,150;  70%. 

f  lOOff  XT.T¥  =  2-^^ — 

l  Ans.  3.55 —  cu.  in. 

fHflo"^-VF  =  34.56. 

f  R^  X  3.1416  =  34.56. 
•  R^=iii!M=  8.250572956. 

R  =  2.020... 
[  Ans.  4.04...  in. 

C272:  812  =  I  .  9 
I  Ans.  9  times. 

1,967  years. 

130.923...  feet. 


M.71S. 

Page  347. 
23  X  23  X  3.1416  X  121 

3.1416  X  2  X  3.1416  x  2  x  3  x  12S 

13.264...  cords. 

500. 


The  1st  payt.  was  on  int.  13y.  6m  6(1. 
Theilth"  "  "  3y.6in.6d. 
Entire  time  ."$121.30  was 

on  interest,  93  y.  8  m.  6  d. 

Int.of  $121  30  for  93y.8m.6d.  $681  S3 

$121.30  X  11  =  1334.30 


501. 

502. 

503. 
504. 

505. 

506. 

507. 

508. 

509. 
510. 


#2016.13 
2016.13  -  162.12  =  1854.01. 

Ans.  $1,854.01. 
220  •"  =  240.592  yds. 
Costofclotb  $668.75 +  36.09 

=  $  704.84. 
1082.66  -  704.84  =  377.82. 
Ans.  $377.82. 
i  In  wall,  1117.013...  sq.  yds. 
)  In  roof,  3686.877. . .  sq.  yds. 
I      Ans.  4,803.89...  sq.  yds. 
112cu.ft. 
33.941...  miles. 
''25.325 +-4.85  =  5.22lf. 
5.22if  -  5.17  =  0.05^. 
Ans.  Through  London,  by 
0.05^  fr.  on  a  dollar. 

(.  Gain,  J^,  or  63t\  %. 
j  $7  ;  $8.75  ;  would  be  raised 
I      to  $  9.03i. 
14  y.  6^"^^  mo. 

180  X  37 


100 
J  (92  -  32)  X  100 


+  32  =  98.6. 


180 


33i 


Ans.  98.6°  F. ;  33^°  C. 
$1,220.81. 


42 


KEY. 


611. 


512. 


Atis. 

'A's  j)liirality  over  C  =  1125. 
B's  plurality  over  C  =  512. 
4214  =  3  times  C's  number 

+  512  +  1125. 
LAns.  A1984;  B 1371;  C  859. 

158400  X  1000  X  10 

=  190270.27 

925  X  9 

Ans.  $  190,270.27. 


513.  I 


X  150  X  100  X 
100  X  95  X  2 


=  90. 
Alls.  $0.90. 


514 


(  7.65  X  88 
.   I        100  X 


Ans. 
88  X  100 


120 


=  5.61. 
Ans.  $5.61. 


515.  12.961...  ft. 


517. 


C  v/32.52  -  302  ^  12.5. 
516.  }  ^32.52  -  ji6i  =  19.5. 

I  Ans.  32  it. 

^IstAns.  55TiefT^; 

or  $ 0.5506... on $1. 
0.706... 
V.  2a  Ans.  $0.155...  more. 
518.  13  more  men. 


ANSWERS. 


43 


ANSWERS   TO   DEILL  EXERCISES. 


1 

2 

8,478 

8,687 

3,811 

4,390 

5,674 

6,364 

2,591 

2,678 

8,985 

9,373 

8,463 

9,325 

5,514 

6,157 

7,016 

7,404 

2,930 

3,420 

9,595 

10,333 

2,337 

2,522 

Q>,Q>2(y 

7,252 

5,605 

6,067 

9,556 

10,200 

5,087 

5,709 

3,309 

4,250 

6,221 

6,979 

2,105 

2,404 

10,611 

10,712 

5,650 

6,377 

8,182 

8,609 

2,838 

3,090 

4,6G3 

5,037 

6,926 

7,211 

9,021 

9,918 

VLBERS   (page  59). 

3 

4 

5 

51,952 

24,794 

113,839 

91,048 

20,466 

153,147 

35,090 

22,485 

96,700 

76,462 

18,766 

138,778 

27,025 

25,513 

89,258 

94,736 

25,423 

156,578 

63,264 

22,231 

125,312 

49,803 

23,494 

111,566 

39,803 

19,549 

101,925 

85,078 

26,451 

147,052 

101,898 

18,618 

163,525 

23,474 

23,389 

85,230 

69,419 

22,171 

131,611 

92,084 

26,313 

153,885 

50,921 

21,774 

113,090 

77,626 

20,329 

139,262 

66,308 

23,114 

128,321 

31,443 

18,474 

93,190 

50,642 

26,816 

113,090 

34,977 

22,476 

96,837 

104,072 

24,740 

166,038 

84,335 

19,177 

145,893 

56,407 

21,171 

118,650 

31,054 

23,317 

93,084 

94,856 

25,985 

157,173 

44 


DRILL  EXERCISES. 


SIMPLE    NUMBERS   (page    59). 


6 

7 

8 

9 

10 

75,985 

378 

621 

946 

3,538 

115,262 

3,737 

6,144 

8,814 

14,728 

58,860 

2,887 

5,292 

6,508 

10,528 

100,905 

3,193 

5,695 

8,559 

14,212 

51,437 

4,401 

6,123 

7,563 

11,824 

118,715 

303 

488 

770 

1,282 

87,425 

3,832 

5,151 

7,427 

11,213 

73,695 

355 

646 

918 

1,590 

64,093 

4,228 

6,C08 

9,497 

15,062 

109,209 

1,363 

3,006 

4,585 

9,307 

125,660 

3,977 

6,169 

9,462 

16,076 

47,406 

2,751 

4,431 

5,814 

9,910 

93,774 

2,900 

5,907 

8,677 

13,118 

116,037 

2,924 

4,958 

7,133 

12,343 

75,194 

331 

550 

841 

1,560 

101,380 

3,164 

6,104 

9,209 

15,449 

90,495 

2,503 

4,511 

7,764 

12,882 

55,299 

75,079 

58,975 

128,208 

108,019 

80,823 

55,229 

119,279 

ANSWERS. 

SIMPLE    NUMBERS   (page   59). 

12 

13 

14 

16 

2,591 

38,047 

5,036 

33,011 

3,129 

79,898 

689 

80,587 

7,835 

11,753 

3,244 

14,997 

6,688 

61,083 

5,217 

66,300 

4,444 

8,650 

3,099 

5,551 

4,521 

75,000 

2,501 

72,499 

6,433 

43,564 

2,299 

45,863 

4,147 

33,621 

1,997 

31,624 

7,480 

'  21,016 

5,961 

26,977 

6,160 

61,396 

1,946 

59,450 

8,868 

81,414 

7,076 

88,490 

859 

13,443 

4,570 

8,873 

6,818 

49,445 

2,656 

52,101 

1,400 

78,080 

6,944 

71,136 

3,631 

37,454 

6 

37,460 

5,605 

60,471 

3,572 

64,043 

2,090 

54,085 

2,549 

51,536 

8,397 

11,963 

7,019 

18,982 

6,076 

28,371 

3,391 

24,980 

3,253 

21,011 

1,071 

19,940 

4,966 

85,090 

2,020 

83,070 

9,075 

62,684 

6,762 

69,446 

5,582 

40,142 

2,345 

42,487 

3,310 

17,180 

2,548 

14,632 

3,254 

77,528 

3,878 

73,650 

45 


46- 


DRILL  EXERCISES. 


SIMPLE    NUMBERS 

19 

25,785 

33,678 
77,436 
61,389 
44,370 
48,951 
63,972 
41,247 
72,513 
62,766 
81,963 
14,220 
66,258 
19,035 
38,484 
59,247 
26,469 
78,516 
56,151 
36,333 
49,338 


84,348 
54,432 
32,931 
37,584 


17 

18 

55,307 

2,192 

21,371 

4,904 

37,520 

6,152 

11,228 

1,064 

56,203 

3,888 

55,580 

7,344 

33,663 

5,400 

46,060 

3,488 

14,672 

4,616 

62,440 

6,512 

14,217 

1,912 

43,050 

5,768 

32,942 

4,352 

63,413 

5,720 

29,890 

5,160 

21,077 

7,824 

38,430 

6,808 

11,935 

2,616 

67,410 

1,304 

35,756 

6,272 

52,514 

4,128 

18,270 

2,376 

25,921 

3,728 

43,449 

2,792 

56,378 

7,376 

(page  59). 

20 

33,280 

24,616 
18,565 
43,286 
84,084 
26,152 
21,536 
18,624 
64,989 
45,524 
13,608 
36,195 
66,994 
30,246 
18,262 

9,657 
59,334 
10,416 
56,978 
27,645 
52,599 

8,235 
79,856 
41,920 
23,550 


21 
4,045,312 

2,210,372 

1,259,600 

1,509,364 

6,888,882 

3,707,980 

3,236,457 

2,553,040 

1,565,712 

5,343,080 

511,812 
2,343,150 
3,844,802 
3,859,134 
3,390,380 

785,871 
3,502,620 

634,260 
8,849,970 
2,477,380 
4,433,682 

477,630 
3,214,204 
4,065,585 
7,586,868 


SIMPLE    NUMBERS    (page    59). 

jcaniples. 

22 

23 

24 

25 

1. 

2,164,874 

785,010 

11,209,888 

323,245,712 

2. 

1,871,489 

2,293,846 

51,271,320 

255,352,920 

3. 

4,121,840 

6,616,476 

15,654,533 

109,113,520 

4. 

213,332 

907,193 

9,031,232 

108,918,016 

5. 

3,902,094 

2,395,980 

6,599,880 

109,033,820 

6. 

7,288,920 

4,993,002 

73,843,002 

638,685,660 

7. 

3,246,075 

4,797,900 

34,203,600 

243,681,648 

8. 

2,868,880 

1,998,188 

16,656,944 

251,382,320 

9. 

1,209,392 

4,648,889 

16,775,121 

60,937,008 

10. 

7,260,880 

5,676,836 

55,653,180 

609,860,400 

11. 

485,409 

2,176,573 

21,634,519 

183,848,151 

12. 

4,434,150 

1,139,180 

10,831,583 

92,391,450 

13. 

2,560,064 

4,004,928 

30,903,008 

267,333,742 

14. 

6,477,185 

1,512,225 

57,339,425 

726,486,505 

15. 

2,754,150 

2,758,020 

26,915,850 

178,187,100 

16. 

2,944,758 

6,438,174 

65,578,812 

201,899,594 

17. 

4,671,990 

2,502,791 

48,529,126 

313,072,740 

18. 

557,535 

2,852,748 

6,764,649 

35,271,335 

10. 

1,569,690 

1,016,957 

5,641,430 

333,294,300 

20. 

4,004,672 

3,165,008 

19,637,632 

127,945,184 

21. 

3,871,032 

2,828,712 

46,735,152 

679,471,144 

22. 

775,170 

2,783,484 

21,400,632 

188,066,160 

23. 

1,725,598 

2,818,368 

21,524,540 

171,041,570 

24. 

2,166,243 

1,276,991 

7,272,811 

129,347,673 

25. 

7,425,788 

3,850,272 

75,331,088 

658,044,016 

43 


DRILL  EXERCISES. 


SIMPLE 

NUMBERS  (page  59). 

26 

27 

28 

29 

30 

7,324 

11,004 

3,891 

233,636 

72,244 

2,295 

6,906 

8,527 

530,586 

52,545 

5,046 

14,498 

6,709 

750,181 

106,375 

G17 

9,233 

9,759 

65,362 

65,123 

7,073 

13,331 

3,417 

473,392 

91,016 

7,417 

13,830 

3,897 

839,397 

97,578 

4,104 

11,919 

6,822 

625,678 

90,443 

6,144 

11,211 

5,336 

398,668 

79,196 

1,262 

10,323 

9,461 

549,081 

81,071 

8,245 

16,109 

2,785 

747,258 

115,010 

1,725 

11,151 

10,021 

148,957 

86,715 

5,674 

8,070 

5,773 

707,419 

54,587 

3,807 

12,341 

6,781 

488,281 

90,940 

8,562 

11,463 

2,819 

636,235 

76,279 

3,453 

8,695 

7,240 

604,560 

64,343 

2,713 

10,311 

9,032 

912,902 

77,576 

4,759 

8,644 

6,176 

795,676 

62,425 

1,305 

10,474 

10,227 

306,967 

82,311 

8,649 

16,625 

1,755 

128^716 

108,833 

4,566 

9,444 

6,711 

760,520 

68,432  : 

j 

6,822 

13,059 

4,211 

426,460 

92,480 

2,382 

12,096 

9,511 

225,538 

92,715 

2,743 

10,153 

7,733 

420,742 

73,804 

5,488 

10,172 

5,442 

328,859 

68,957 

7,087 

12,250 

3,308 

842,140 

88,186  , 

31 

18,900 

20,778 
24,773 
19,298 
26,885 
28,147 
26,072 
19,839 
23,970 
30,838 
16,287 
19,471 
26,222 
23,299 
23,581 
22,962 
24,172 
17,746 
26,852 
22,619 
24,570 
17,079 
23,557 
20,255 
31,792 


ANSWERS. 


49 


SIMPLE    NUMBERS  (pages  59,  61). 

43  44 

117,2511  93,801f 

185,875  148,700 

155,0211  124,017 

200,1641  160,1311 

97,425  77,940 

239,200  191,360 

71,251  57,000f 

125,094  100,075^ 

168,850  135,080 

183,225  146,580 

121,575  97,260 

210,0031  168,003 

142,517  114,013a 

240,600  192,480 

108,900  87,120 

175,2103  140,1681 

164,925  131,940 

200,2181  160,175 

160,751f  128,601f 

87,523  70,018f 

200,1911  160,153 

117,2511  93,801f 

195,625  156,500 

236,5011  189,201f 

116,325  93,060 


32 

33 

34 

37,773 

8,139 

4,803 

79,285 

3,164 

6,618 

10,984 

4,826 

2,352 

60,950 

2,412 

8,607 

8,164 

8,401 

8,016 

74,082 

7,489 

4,371 

42,889 

4,807 

6,153 

33,185 

6,532 

3,636 

20,439 

2,2m 

6,984 

60,582 

8,705 

5,619 

81,175 

2,044 

2,430 

12,722 

5,810 

3,714 

48,901 

4,979 

7,599 

77,365 

8,770 

4,047 

36,809 

4,419 

7,215 

59,493 

2,294 

2,460 

53,234 

5,277 

6,021 

11,636 

1,750 

3,432 

28,208 

10,386 

8,457 

20,227 

4,809 

4,536 

84,574 

7,577 

5,586 

62,387 

2,496 

1,782 

39,676 

4,105 

8,088 

16,831 

6,513 

6,087 

76,606 

8,074 

8,553 

50 


DRILL  EXERCISES. 


SIMPLE   NUMBERS   (page  61). 


45 

l,341,058t 

1,088,463^ 
775,730 

1,303,4101 

l,511,386f 
963,771t 
650,957t 
474,895 

1,078,476 
963,8431 

1,260,1411 
612,013t 
820,268 

1,571,762 
697,843^ 

l,068,390f 
266,451 

1,236,848^ 

1,075,118^ 
472,511f 
884,456^ 
590,114^ 


46 

1,149,478^ 

932,968^ 
664,911^ 

1,117,209 

1,295,474 
826,090 
557,963f 
407,052f 
924,408 
826,151f 

l,080,121f 
524,583^ 
703,086f 

l,347,224f 
598,151? 
915,763f 
228,386f 

l,060,155f 
921,530f 
405,009^ 
758,105^ 
505,812^ 


1,231,744^  l,055,781f 


1,013,957^ 


869,106-^ 


1,234,775^  1,058,379 


47 

48 

58,625| 

52,111| 

92,937| 

82,611^ 

77,510t 

68,898-3 

100,0821 

88,962^ 

48,712| 

43,300 

119,600 

106,311^ 

35,625| 

31,667^ 

62,547 

55,597f 

84,425 

75,044^ 

91,6121 

81,433| 

60,787t 

54,033^ 

105,001| 

93,335 

71,258t 

63,340| 

120,300 

106,933§ 

54,450 

48,400 

87,605-} 

77,871^ 

82,462f 

73,300 

100,1091 

88,986^ 

80,375 1 

71,4452 

43,761| 

38,899^ 

100,0951 

88,973f 

}J^,(J2^ 

52,lllf 

97,812| 

86,944^ 

118,250^ 

105,1111 

58,162^ 

51,700 

ANSWERS. 


51 


SIMPLE    NUMBERS   (page   61).* 


404;  8 
360;  6 
536;  9 
483;  5 
205;  12 
300;  3 
186 


373 
610 
405 
567 
275 
472 
247 
543 
291 
365 
72 
560 
435 
480 
570 
287 
264 


13 

10 

10 

2 

5 

2 

1 

9 

5 

5 

14 

6 

5 

9 

10 

3 


453;  10 


5^  .... 
29,312;  15 

46,468;  12 

38,755;  5 

50,041 ;  3 

24,356 ;  4 

59,800 

17,812  ;  12 

31,273;  8 

42,212 ;  8 

45,806 ;  4 

30,393;  12 

52,500 ;  15 

35,629 ;  4 

60,150 

27,225 

43,802 

41,231 

50,054 

40,187 

21,880 

50,047 

29,312 

48,906 

59,125 

29,081 


11 

4 

11 

15 

12 

13 

15 

4 

7 

4 


52 

26,055 

Rem. 

17 

53 

298,013 ; 

41,305 

,  10- 

241,880 ; 

34,449 

,  3 

172,384 ; 

44,481 

,  1 

289,646 ; 

21,650 

335,863 ; 

53,155 

,  10 

214,171 ; 

15,833 

,  10 

144,657 ; 

27,798 

12 

105,532 ; 

37,522 

4 

239,661 ; 

40,716 

12 

214,187  ; 

27,016 

12 

280,031 ; 

46,667 

9 

136,003 ; 

31,670 

8 

182,281 ; 

53,466 

12 

349,280 ; 

24,200 

155,076 ; 

38,935 

13 

237,420 ; 

36,650 

59,211 ; 

44,493 , 

1 

274,855 ; 

35,722  ; 

11 

238,915 ; 

19,449 ; 

10 

105,002 ; 

44,486  ; 

17 

196,545 ; 

2Q>,0^^ ; 

17 

131,136  ; 

43,472 ; 

4 

273,721 ; 

^2,565 ; 

17 

225,323 ; 

25,850 

274,394 ; 

*  For  tlie  sake  of  being  read  more  easily,  the  answers  to  examples  in  Exercises  50  to 
0  are  put  in  their  simj>lest  fonn,  with  remainders  merely. 


52 


DRILL  EXERCISES. 


SIMPLE    NUMBERS   (page   61). 


54 

134; 

Rem. 

38 

79; 

34 

108; 

57 

129; 

26 

64; 

15 

70; 

23 

35; 

60 

67 

43 

169; 

34 

80 

5 

146; 

39 

87 

41 

108, 

62 

69 

49 

166 

20 

52 

2 

69 

29 

17 

23 

147 

,  27 

94 

;  44 

96 

,  9 

127 

;  51 

73 

;  1 

86 

;  4 

93 

;  16 

55 

10,422  ; 

Rem. 

17 

56 

12,417; 

Rem. 

136 

5 

77; 

10,933 ;  m 

13,807 ; 

70 

137; 

8,379 ;  39 

5,574 ; 

90 

77; 

14,297 ;  27 

13,210  • 

143 

110; 

8,118 ;  36 

12,490 

578 

126; 

14,950 

6,061 

436 

212; 

3,653 ; 

70 

10,642 

132 

102; 

6,028 , 

52 

9,859 , 

119 

89; 

12,507 , 

22 

10,190 

206 

73; 

9,643 ; 

32 

11,826 

148 

120; 

8,384 ; 

28 

20,162 

99 

57; 

17,872  , 

31 

5,329 

402 

203; 

8,770 , 

18 

6,441 

684 

80; 

18,158  ; 

26 

10,902 

342 

•259; 

8,889 

39 

5,260 

103 

53; 

8,343 

31 

18,473 

211 

160; 

8,350 

50 

2,728 

,  98 

120; 

12,712 

19 

11,835 

544 

732; 

11,280 

47 

16,330 

363 

76; 

5,073 

m 

3,841 

410 

53; 

10,676 

,  65 

9,165 

204 

111; 

7,000 

;  7 

7,285 

,  177 

51  ; 

13,262 

;  42 

7,845 

;  478 

181; 

20,565 

;  17 

21,883 

;  271 

238; 

6,373 

;7i 

12,621 

;  126 

(S%', 

Ri-m. 

1,771 


ANSWERS. 


53 


SIMPLE 


51 
1,326 ; 

184 

1,208 ; 

333 

578; 

2,058 

1,078 ; 

4,963 

2,937 ; 

1,799 

1,284 ; 

778 

1,399 ; 

2,536 

508; 

2,538 

706; 

3,896 

950, 

2,312 

888 

6,633 

889 

513 

694 

6,700 

2,544 

2,508 

513 

,  4,061 

1,466 

;  3,922 

291 

;  4,026 

6,783 

;  487 

767 

;  3,311 

434 

;  1,048 

736 

;  915 

413 

;  5,407 

1,715 

;  2,248 

1,536 

;  1,185 

1,088 

;  4,813 

NUMBERS 
59 


(page  61). 


586; 

Rem. 

207 

929; 

300 

775; 

85 

1,000 ; 

659 

487; 

100 

1,196 

356; 

204 

625; 

376 

844; 

200 

916; 

100 

607; 

700 

1,050 ; 

15 

712; 

468 

1,203 

544; 

400 

876; 

43 

824; 

500 

1,001 , 

75 

803 

607 

437 

492 

1,000 

765 

586 

207 

978 

100 

1,182 

407 

581 

;  500 

6i 
1,915 ; 

3,352 

1,554 ; 

3,981 

1,108  ; 

780 

1,862 ; 

63 

2,158; 

4,718 

1,376 , 

3,430 

929 

3,946 

678 

1,770 

1,540 

2,856 

1,376 

3,862 

1,800 

849 

874 

,  1,283 

1,171 

;  3,408 

2,245 

;  1,572 

996 

;  3,863 

1,526 

;  1,142 

380 

;  2,706 

1,766 

;  3,889 

1,535 

;  3,713 

675 

;  68 

1,263 

;  2,139 

843 

;  87 

1,759 

;  6,268 

1,448 

;  2,145 

1,763 

;  4,053 

61 

53,633 

52,819 
55,830 
54,770 
50,733 
52,393 
50,107 
52,852 
56,721 
53,522 
55,812 
51,738 
54,783 
51,496 
55,871 
51,673 
53,017 
48,656 
55,730 
54,209 
54,735 
55,985 
52,181 
51,156 
54,337 


54 


DRILL  EXERCISES. 


SIMPLE    NUMBERS   (page  61). 


Examples. 
1. 

62 

541,246 

63 
7,577,345 

64 

3,356,282 

65 

2,845,934,476 

2. 

814,925 

5,787,281 

904,219 

4,019,361,000 

3. 

694,521 

4,034,295 

1,546,470 

4,991,064,165 

4. 

874,035 

7,019,804 

186,127 

5,804,777,750 

5. 

459,039 

8,678,618 

5,171,318 

1,203,003,900 

6. 

1,027,799 

4,825,830 

3,785,370 

4,308,470,400 

7. 

353,717 

3,620,742 

1,055,706 

795,161,160 

8. 

571,834 

2,348,994 

2,154,390 

2,806,108,608 

9. 

750,727 

5,795,456 

283,144 

6,186,664,000 

10. 

805,028 

5,050,162 

1,545,938 

4,459,696,500 

11. 

560,718 

7,074,549 

2,697,849 

4,136,954,100 

12. 

910,359 

2,832,068 

4,728,067 

3,469,261,950 

13. 

643,457 

4,351,540 

779,072 

4,037,221,576 

14. 

1,032,502 

8,468,172 

193,428 

3,566,654,400 

15. 

510,077 

3,751,463 

168,937 

3,551,882,400 

16. 

771,122 

5,709,499 

598,088 

3,062,683,910 

17. 

731,323 

939,006 

4,998,294 

3,615,156,000 

18. 

868,137 

6,620,214 

587,661 

876,157,250 

19. 

717,313 

5,807,706 

20,643 

5,405,116,842 

20. 

422,907 

2,484,976 

665,852 

2,286,100,760 

21. 

874,106 

4,505,974 

2,700,911 

5,772,714,885 

22. 

543,598 

3,071,680 

1,149,383 

4,014,699,920 

23. 

853,287 

6,607,968 

434,532 

3,371,010,000 

24. 

1,015,769 

5,137,738 

3,376,325 

3,746,187,720 

25. 

538,243 

6,943,353 

2,775,653 

3,166,366,500 

ANSWERS. 


55 


SIMPLE   NUMBERS 
66 

3,773,795,412,464 
4,855,635,673,500 
2,886,111,222,300 
6,261,524,085,117 
3,533,923,524,600 
5,532,820,384,000 
1,113,153,232,984 
1,425,756,363,120 
4,370,416,142,400 
4,238,406,139,800 
3,676,840,868,700 
3,084,604,801,245 
2,805,651,229,344 
9,075,982,492,800 
1,823,884,642,800 
4,492,643,318,306 
1,054,666,348,200 
5,943,364,652,875 
4,147,853,613,991 
992,534,626,256 
4,249,450,855,335 
1,660,606,987,809 
5,783,041,210,000 
5,755,265,356,215 
3,447,246,240,900 


(page  61). 


67 

68 

69 

413,836 

401,847 

8,012 

218,323 

684,710 

6,825 

689,176 

531,245 

10,554 

343,214 

722,239 

9,026 

523,989 

351,570 

5,265 

905,613 

902,230 

7;365 

131,899 

253,434 

3,891 

77,913 

441,406 

6,475 

394,065 

577,450 

11,065 

233,036 

667,160 

7,552 

132,118 

397,480 

9,632 

470,591 

791,825 

6,197 

576,614 

491,608 

9,374 

744,519 

916,690 

6,301 

625,462 

346,100 

10,542 

116,039 

653,673 

5,411 

337,916 

599,040 

7,238 

392,035 

783,665 

2,975 

147,619 

554,997 

9,591 

538,114 

277,412 

8,744 

328,032 

722,885 

8,946 

227,636 

378,547 

10,018 

883,056 

730,000 

7,134 

73,324 

903,627 

4,794 

337,764 

391,380 

8,566 

56 


BPdLL  EXERCISES. 


SIMPLE    NUMBERS 

[pages  61,  63). 

Examples. 
1. 

71 

23,092 

72 

1,791§ 

73 

28  cows  5 

$36 

82 

914,041 

2. 

26,758 

1,621| 

13     '^ 

62 

1,040,014 

3. 

53,741 

2,380 

22     " 

42 

976,067 

4. 

25,902 

2,200§ 

21     '' 

8 

1,678 

5. 

31,761 

771 

30     " 

12 

63,306,000 

6. 

56,553 

l,161f 

29     " 

52 

19,900,019 

7. 

25,836 

781§ 

9     " 

32 

170,000,007 

8. 

18,379 

1,745^ 

6     " 

80 

10,001,101 

9. 

25,130 

2,823| 

23     " 

28 

305,050,000 

10. 

41,079 

1,840 

12     " 

66 

12,200,002 

11. 

13,243 

2,691^ 

12     " 

54 

1,018,008 

12. 

28,253 

1,131^ 

29     " 

15 

1,000,600,006 

13. 

42,578 

2,084i 

23     " 

33 

904,000,094 

14. 

42,139 

929i 

32     " 

34 

3,030,000,303 

15. 

30,850 

2,436i 

32     '^ 

24 

2,000,412,014 

16. 

24,778 

1,313 

8     " 

22 

101,001,001 

17. 

40,814 

1,605 

14     " 

66 

6,000,060,600 

18. 

38,407 

1342. 

19     " 

57 

403,000,000,030 

19. 

14,109 

2,651i 

13     " 

49 

1,000,017,000,000 

20. 

44,392 

1,907§ 

21     " 

27 

506,000,065,005 

21. 

36,216 

2,185 

15     " 

33 

4,004,000,004,000 

22. 

24,002 

2,669 

14     " 

34 

689,000,006,089 

23. 

41,270 

l,102i 

31     " 

55 

42,000,000,040,200 

24. 

8,828 

1,212 

12     " 

4 

18,000,108,000,018 

25. 

36,046 

2,048^ 

16     " 

6 

4,047,000,004,700 

ANSWERS. 

57 

SIMPLE    NUMBERS   (page 

63). 

Lines 

1  and  2, 

83             Ans. 

1,954,055 

Lines                  S4          Ans. 

1  to  6,^             86,137,819 

2    ' 

'    3, 

2,016,081 

2  ' 

'  7, 

255,223,785 

3    ' 

'    4, 

977,745 

3  ' 

'  8, 

264,184,872 

4    ' 

^    5, 

63,307,678 

4  ' 

'  % 

568,258,805 

5    ' 

'    6, 

83,206,019 

5  ' 

'10, 

580,457,129 

6    ' 

^    7, 

189,900,026 

6  ' 

'11, 

518,169,137 

7    ' 

'  s, 

180,001,108 

7  ' 

'12, 

1,498,869,124 

8    ^ 

'    % 

315,051,101 

8  ' 

'13, 

2,232,869,211 

9    ' 

ao, 

317,250,002 

9  ' 

'14, 

5,252,868,413 

10    ^ 

'11, 

13,218,010 

10' 

'15, 

6,948,230,427 

11    ' 

'12, 

1,001,618,014 

11  ' 

'16, 

7,037,031,426 

12    ' 

'13, 

1,904,600,100 

12  ' 

'17, 

13,036,074,018 

13    ^ 

'14, 

3,934,000,397 

13  ' 

'18, 

415,035,474,042 

14    ^ 

'15, 

5,030,412,317 

14  ' 

'19, 

1,414,148,473,948 

15    ' 

'16, 

2,101,413,015 

15  ' 

'20, 

1,917,118,538,650 

16    ' 

'17, 

6,101,061,601 

16  ' 

'21, 

5,919,118,130,636 

17    ' 

'18, 

409,000,060,630 

17  ' 

'22, 

6,608,017,135,724 

18    ' 

'19, 

1,403,017,000,030 

18  ' 

'23, 

48,602,017,115,324 

19    ' 

'20, 

1,506,017,065,005 

19  ' 

'24, 

66,199,125,115,312 

20    ' 

'21, 

4,510,000,069,005 

20  ' 

'25, 

69,246,108,120,012 

21    ' 

'22, 

4,693,000,010,089 

*  Inclusive. 

22    ' 

'23, 

42,689,000,046,289 

23    ' 

'24, 

60,000,108,040,218 

24    ' 

'25, 

22,047,108,004,718 

DRILL  EXERCISES. 


Examples. 
1. 

Linei 

1  an 

2. 

2-   " 

3. 

3    " 

4. 

4    " 

5. 

5    " 

6. 

6    " 

7. 

7    " 

8. 

8    " 

9. 

9    " 

10. 

10    " 

11. 

11    '' 

12. 

12    " 

13, 

13    " 

14. 

14    " 

15. 

15    " 

16. 

16    " 

17. 

17    " 

18. 

18    " 

19. 

19    " 

20. 

20    " 

21. 

21    " 

22. 

22    " 

23. 

23    " 

24. 

24    " 

25. 

SIMPLE    NUMBERS  (page  63). 
85 


Ans. 

125,973 


3, 

6, 

7, 


63,947 

974,389 

63,304,322 

43,405,981 

150,099,988 

159,998,906 

295,048,899 

292,849,998 

11,181,994 

999,581,998 

96,599,912 

2,126,000,209 

1,029,588,289 

1,899,411,013 

5,899,059,599 

396,999,939,430 

597,016,999,970 

494,016,934,995 

21,  3,497,999,938,995 

22,  3,314,999,997,911 

23,  41,311,000,034,111 

24,  23,999,892,040,182 
2o,  13,953,107,995,318 


% 
10, 

11, 
12, 
13, 
14, 
15, 
16, 
17, 
18, 
19, 
20, 


86 
5.484.246 


6,240,084 

5,856,402 

10,068 

379,836,000 

119,400,114 

1,020,000,042 

60,006,606 

1,830,300,000 

73,200,012 

6,108,048 

6,003,600,036 

5,424,000,564 

18,180,001,818 

12,002,472,084 

606,006,006 

36,000,363,600 

2,418,000,000,180 

6,000,102,000,000 

3,036,000,390,030 

24,024,000,024,000 

4,134,000,036,534 

252,000,000,241,200 

108,000,648,000,108 

24,282,000,028,200 


ANSWERS. 


59 


SIMPLE    NUMBERS 

87 

6,398,287 

7,280,098 

6,832,469 

11,746 

443,142,000 

139,300,133 

1,190,000,049 

70,007,707 

2,135,350,000 

85,400,014 

7,126,056 

7,004,200,042 

6,328,000,658 

21,210,002,121 

14,002,884,098 


707,007,007 


42,000,424,200 

2,821,000,000,210 

7,000,119,000,000 

3,542,000,455,035 

28,028,000,028,000 

4,823,000,042,623 

294,000,000,281,400 

126,000,756,126 

28,329,000,032,900 


(page  63). 

88 

7,312,328 

8,320,112 

7,808,536 

13,424 

506,448,000 

159,200,152 

1,360,000,056 

80,008,808 

2,440,400,000 

97,600,016 

8,144,064 

8,004,800,048 

7,232,000,752 

24,240,002,424 

16,003,296,112 

808,008,008 

48,000,484,800 

3,224,000,000,240 

8,000,136,000,000 

4,048,000,520,040 

32,032,000,032,000 

5,512,000,048,712 

336,000,000,321,600 

144,000,864,000,144 

32,376,000,037,000 


CO 


DRILL  EXERCISES. 


SIMPLE    NUMBERS 

(page  63). 

89 

90 

8,226,369 

152,340^ 

9,360,126 

173,335^ 

8,784,603 

162,677^ 

15,102 

279^ 

569,754,000 

10,551,000 

179,100,171 

3,316,669f 

1,530,000,063 

28,333,334^ 

90,009,909 

1,666,850^ 

2,745,450,000 

50,841,666^ 

109,800,018 

2,033,3331 

9,162,072 

169,668 

9,005,400,054 

166,766,6671 

8,136,000,846 

150,666,682^ 

27,270,002,727 

505,000,050^ 

18,003,708,126 

333,402,002^ 

909,009,009 

16,833,500^ 

54,000,545,400 

1,000,010,100 

3,627,000,000,270 

67,166,666,671^ 

9,000,153,000,000 

166,669,500,000 

4,554,000,585,045 

84,333,344,167^ 

36,036,000,036,000 

667,333,334,000 

6,201,000,054,801 

114,833,334,348^ 

378,000,000,361,800 

7,000,000,006,700 

162,000,972,000,162 

3,000,018,000,003 

36,423,000,042,300 

674,500,000,783^ 

ANSWERS. 


61 


SIMPLE 


91 


130,577f 

148,573^ 

139,438} 

239f 

9,043,714f 

2,842,859f 

24,285,715f 

1,428,728  f 

43,578,5719 

1,742,857? 

145,429f 

142,942,858 

129,142,870f 

432,857,186} 

285,773,144^ 

14,428,714^ 

857,151,514f 

57,571,428,575^^ 

142,859,571,428^ 

72,285,723,572} 

572,000,000,571? 

98,428,572,298? 

6,000,000,005,742f 

2,571,444,000,002^ 

578,142,857,814f 


NUMBERS   (page 

92 

114,255^ 

130,0011 
122,008| 
209| 
7,913,250 
2,487,502t 
21,250,000f 
l,250,137f 
38,131,250 
1,525,0001 
127,251 
125,075,000^ 
113,000,0111 
378,750,0371 
250,051,501  § 
12,625,125^ 
750,007,575 
50,375,CC0,0C3§ 
125,002,125,000 
63,250,008,1251 
500,500,000,500 
86,125,000,761J 
5,250,000,005,025 
2,250,013,500,0021 
505,875,000,5871 


63). 

93 

101,560^ 

115,557^ 
108,4511 
186t 
7,034,000 
2,211,1131 
18,888,889-«- 
1,111,233^ 
33,894,444^ 
1,355,555^ 
113,112 
111,177,778^ 
100,444,4541 
336,666,7C0§ 
222,268,001^ 
11,222,333* 
666,673,400 
44,777,777,781^ 
111,113,000,000 
56,222,229,445 
444,888,889,3331 
76,555,556,232  J- 
4,666,666,671,133^ 
2,000,012,000,002 
449,666,667,188§ 


62 


DRILL  EXERCTSES. 


SIMPLE    NUMBERS   (page   63 

. 

Examples. 

94 

95 

96 

97 

1. 

2,016 

234 

413 

^Oj%% 

2. 

3,796 

819 

160 

56 

3. 

8,019 

594 

558 

205,«^ 

4. 

2,160 

648 

84 

27 

5. 

6,400 

432 

408 

117 

6. 

5,775 

833 

120 

5^^% 

7. 

3,584 

1,820 

44 

mn 

8. 

6,392 

1,190 

240 

341  Of 

9. 

4,131 

1,224 

129 

2^,%\ 

10. 

6,048 

648 

366 

7m 

11. 

7,392 

748 

512 

256 

12. 

7,448 

840 

245 

17111 

13. 

1,728 

912 

90 

-  ^in 

14. 

2,115 

117 

200 

27t§^ 

15. 

5,562 

0 

414 

76§8 

16. 

3,168 

198 

354 

4711 

17. 

7,980 

2,508 

129 

4CA^a 

18. 

9,065 

924 

224 

1295? 

19. 

5,395 

715 

280 

49/3^^^ 

20. 

3,840 

0 

712 

64 

21. 

5,236 

2,652 

54 

i4r^^ 

22. 

7,728 

1,680 

284 

69,V, 

23. 

6,039 

385 

756 

16832 

24. 

8,372 

1,092 

399 

357 

25. 

2,652 

104 

432 

41i? 

ANSWERS. 


63 


UNITED    STATES    MONEY 
107 

1^250 

71,900 

25,620 

18,090 

130,060 

5,075 

1,908 

100,200 

49,720 

6,073 

275 

12,190 

255 

16,006 

49,240 

5,675 

99,560 

178 

38,005 

89,503 

925 

755 

54,090 

4,444 


9,099 


105 

$  12.25 

106 

1,840 

71.90 

8,322 

25.62 

3,641 

18.09 

3,005 

130.06 

20,475 

5.075 

920 

1.908 

563 

100.20 

87,600 

49.72 

10,035 

6.073 

1,520 

0.275 

136 

12.19 

2,095 

0.255 

40 

16.006 

1,900 

49.24 

6,307 

5.675 

764 

99.56 

41,928 

0.178 

62 

38.005 

50,057 

89.503 

26,806 

0.925 

2,970 

0.755 

1,100 

54.09 

10,002 

4.444 

44,444 

9.099 

10,010 

(page  73). 

108 
1,275.92 
1,335.57 
1,289.29 
1,281.76 
1,393.73 
1,268.745 
1,265.578 
1,363.87 
1,313.39 
1,269.743 
1,263.945 
1,275.86 
1,263.925 
1,279.676 
1,312.91 
1,269.345 
1,363.23 
1,263.848 
1,301.675 
1,353.173 
1,264.595 
1,264.425 
1,317.76 
1,268.114 
1,272.769 


109 

%  295.94 
600.10 
459.263 
404.773 
1,332.833 
1,148.093 
1,155.09 
1,149.185 
206.125 
56.712 
70.443 
181.12 
161.30 
679.483 
645.275 
1,071.538 
1,415.781 
927.566 
938.523 
554.058 
645.379 
723.953 


61 


DRILL  EXERCISES. 


UNITED    STATES    MONEY 

112 
$  110.40 


499.32 
218.46 
180.30 
1,228.50 
55.248 
33.792 
5,256.00 
602.10 
91.242 
8.16 
125.70 
2.412 
114.03 
378.432 
45.87 
2,515.68 
3.75 
3,003.42 
1,608.36 
178.20 
66.03 
600.12 
2,666.64 
600.60 


ampfes. 

no 

111 

1. 

%  881.60 

$6.15 

2. 

816.78 

11.32 

3. 

863.59 

10.79 

4. 

869.95 

11.96 

5* 

695.25 

74.69 

6. 

890.792 

4.133 

7. 

894.368 

3.724 

8. 

24.00 

775.80 

9. 

799.65 

50.63 

10. 

884.793 

9.134 

11. 

898.64 

1.085 

12. 

879.05 

8.76 

13. 

899.598 

0.147 

14. 

880.995 

2.999 

15. 

836.928 

13.832 

16. 

892.355 

1.97 

17. 

480.72 

319.72 

18. 

899.375 

0.447 

19. 

399.43 

462.565 

20. 

631.94 

178.557 

21. 

870.30 

28.775 

22. 

888.995 

10.25 

23. 

799.98 

45.93 

24. 

455.56 

439.996 

25. 

799.90 

91.001 

page  73). 

113 

114 

%  85.75 

$165.60 

503.30 

748.98 

179.34 

327.69 

126.63 

270.45 

910.42 

1,842.75 

35.525 

82.872 

13.356 

50.688 

701.40 

7,884.00 

348.04 

903.15 

42.511 

136.863 

,1.925 

12.24 

85.33 

188.55 

1.785 

3.618 

112.042 

171.045 

344.68 

567.648 

39.725 

68.805 

696.92 

3,773.52 

1.246 

5.625 

266.035 

4,505.13 

626.521 

2,412.54 

6.475 

267.30 

5.285 

99.045 

378.63 

900.18 

31.108 

3,999.96 

63.693 

900.90 

ANSWERS. 

t)f 

UNITED    STATES   MONEY 

(page  73). 

115 

116 

117 

118 

119 

11.84 

$1.11 

11.02 

12.63 

73M 

8.32 

6.54 

6.00 

11.89 

332  If 

3.64 

2.33 

2.13 

5.20 

145^ 

3.01 

1.64 

1.51 

4.29 

120^5 

20.48 

11.82 

10.84 

29.25 

819 

0.92 

0.46 

0.42 

1.32 

36e 

0.56 

0.17 

0.16 

0.80 

22^ 

87.60 

9.11 

8.35 

125.14 

3,504 

10.04 

4.52 

4.14 

14.33 

401M 

1.52 

0.55 

0.51 

2.17 

60M 

0.14 

0.03 

0.02 

0.19 

5H 

2.10 

1.11 

1.02 

2.99 

m% 

0.04 

0.02 

0.02 

0.06 

m 

1.90 

1.46 

1.33 

2.72 

76 

6.31 

4.48 

4.10 

9.01 

252/j 

0.76 

0.52 

0.47 

1.09 

30i| 

41.93 

9.05 

8.30 

59.89 

Ifilli-s 

0.06 

0.16 

0.01 

0.09 

2H 

50.06 

3.46 

3.17 

71.51 

2,002/^ 

26.81 

8.14 

7.46 

38.29 

1,072^ 

2.97 

0.08 

0.08 

4.24 

118|^ 

1.10 

0.07 

0.06 

1.57 

44 

10.00 

4.92 

4.51 

14.29 

400^ 

44.44 

0.40 

0.37 

63.49 

1,777H 

10.01 

0.83 

0.76 

14.30 

400^^ 

G6 


DRILL  EXERCISES. 


UNITED 

STATES    MONEY   (page   73 

). 

Examples. 
1. 

120 

115 

121 

2,450 

122 

%  239.20 

123 

230  lb 

2. 

520^ 

14,380 

1,081.86 

1,040| 

3. 

227^9^ 

5,124 

473.33 

455^ 

4. 

187i^ 

3,618 

390.65 

3751 

5. 

1,279H 

26,012 

2,661.75 

2,559^ 

6. 

57/, 

1,015 

119.704 

115 

7. 

35tV 

381^ 

73.216 

70t 

8. 

5,475 

20,040 

11,388. 

10,950 

9. 

627^ 

9,944 

1,304.55 

1,254| 

10. 

95 

1,214| 

197.691 

190 

11. 

8A 

b^ 

17.68 

17 

12. 

1301^ 

2,438 

272.35 

261^ 

13. 

2^ 

51 

5.226 

5 

14. 

llSlf 

3,201^ 

247.065 

2371 

15. 

394,3, 

9,848 

819.936 

788t 

16. 

47H 

1,135 

99.385 

95| 

17. 

2,620^ 

19,912 

5,450.64 

5,241 

18. 

311 

35^ 

8.125 

7f 

19. 

3,128,^ 

7,601 

6,507.41 

6,257i 

20. 

1,675A 

17,900^ 

3,484.78 

3,350§ 

21. 

1851^ 

185 

386.10 

371| 

22. 

68H 

151 

143.065 

137| 

23. 

625i^ 

10,818 

1,300.26 

l,250f 

24. 

2,777U 

888f 

5,777.72 

5,555| 

25. 

625H 

l,819f 

1,301.30 

l,251i 

ANSWERS. 


67 


COMMON   FRACTIONS  (page  123). 


124 
5,  37. 

2^  3^ 

2,  S,  5,  13. 

7,83. 

2^,  35. 

2,  7,  43. 
2^  23. 
5\  17. 
127. 

2%  S,  13. 
2^  7,  11. 
769. 
2^  11^. 

3,  947. 
2%  5,  17. 
647. 

2,  S,  23. 
2»,  3,  7. 

3,  7,  23.  . 
3^ 

5,89. 
5,97. 

2%  3,  67. 
2%  5,  31. 
2%  103. 


125 
2^  37. 

22,  3^ 

22,  32, 11,  13. 


2^ 

83. 

2^ 

3^5. 

2, 

3,  5,  43. 

2', 

32,  23. 

5, 

7,17. 

2, 

3,  127. 

2» 

7,13. 

2^ 

5,  7,  11. 

2, 

769. 

2», 

3,  112. 

5, 

947. 

04 

3,17. 

647. 

2S 

23. 

2, 

3,  7,  13. 

3, 

11,  23. 

22 

3^ 

0 

■^7 

3,89. 

32, 

97. 

2^ 

5,67. 

2% 

32,  31. 

2, 

7,  103. 

126 

127 

37 

72 

108 

1,080 

78 

576 

83 

1,596 

108 

84 

86 

96 

92 

240 

85 

63 

127 

31,050 

104 

1,680 

308 

1,365 

769 

360 

968 

855 

947 

1,232 

68 

270 

647 

770 

46 

255 

42 

31,720 

69 

190 

81 

132 

89 

936 

97 

684 

268 

252 

124 

5,115 

206 

390 

128 

f 


I 


i 


68 

DRILL 

EXERCISES. 

COMMON   PKACTIONS  (page  123). 

Examples. 

130 

131 

132 

133 

134 

i36 

ise 

137 

1. 

m 

n 

85 

lOliV 

u 

59| 

6A 

60>i 

2. 

m 

m 

9-^,% 

74JI 

m 

2? 

151 J 

3?8 

3. 

m 

2sV 

5iJ 

93i 

ii 

45f 

13J 

46,'5 

4. 

u\ 

U^\ 

im 

126/j 

A 

47i 

19iV 

47/, 

5. 

1A\ 

mi 

m 

147J§ 

A 

41i 

36JJ 

41fJ 

6. 

^n 

2tW 

HU 

142iJ 

ii 

63i 

27A 

64/j 

7. 

n 

2-^ 

5H 

110^, 

^ 

64J 

lis"* 

65 

8. 

m 

vft 

S^c 

92Ji 

3% 

41? 

1918 

42A', 

9. 

lii 

ifi 

3i 

154^^ 

?j 

20} 

51iJ 

21J 

10. 

m 

2M 

6Hi 

129tJ 

TV? 

^ 

43sV 

8i 

11. 

m 

2il?- 

lliVs 

157A 

A 

&H 

25Ji 

66iJ 

12. 

i^h 

Uh 

4,»A 

124H 

ISJ 

23i 

32tJ 

24JJ 

13. 

111 

2|S 

^,h 

110/^ 

« 

llj 

42?J 

12H 

14. 

in 

l§ff 

TA\ 

167A 

§s 

31i 

50#, 

32,V 

15. 

Us 

111 

6i% 

167}  1 

J 

35J 

48jt 

36a 

16. 

n 

1* 

4 

156/, 

f 

21i 

53ft 

22iV 

17. 

m 

2m 

4fi 

156J 

i? 

33? 

48J 

344} 

18. 

i/A 

Uii 

8i 

121/j 

n 

20} 

32H 

21^. 

19. 

in 

nu 

lOsV 

16053 

e 

66J 

29M 

57  J  i 

20. 

Us 

m 

5J!i 

1253i 

i^r 

21 1 

40iJ 

21i!t 

21. 

h'h 

nu 

10/j 

147i| 

A'l 

41? 

27A 

421? 

22. 

U} 

nn 

m 

91/s 

483 

m 

14§t 

39  J  J 

23. 

VA 

mu 

nu 

184ge 

m 

20? 

54tJ 

21  f\ 

24. 

'SI 

u\ 

8A 

147JJ 

i\\ 

59J 

26i8 

60,% 

25. 

u. 

im 

8Tlff 

137J 

ii! 

25i 

32J 

2Gfy 

ANSWERS. 


69 


COMMON   FRACTIONS   (page  123). 


Exami 

1 

.1=5.     138 

139 

i40 

5^ 

141 

i42 

2H 

143 

it 

144 

6i 

2 

.        fIJ 

A 

3?J 

/s 

%i 

A 

6? 

3 

.     m 

§1 

2A 

^A 

lAr 

A 

4A 

4 

a 

fi 

Sj'A 

A 

1ft 

•A 

H 

5 

.  n 

^ 

5ilJ 

1 

3|J 

A 

13A 

6 

m 

M 

^/A'o 

tJ 

lyj 

A 

7i 

7 

i 

4 

3/A 

J 

lii 

f 

74 

8 

iVo-f 

/j 

V* 

A 

m 

i 

5f 

9 

T?A 

§ 

m 

1^ 

m 

A 

194 

10 

^T>S 

h\ 

m 

m 

sm 

iJ 

19^ 

11 

£^ 

i'D 

8:}h 

i 

4H 

t 

181 

12 

iHi 

iV 

m 

t\ 

m 

J 

6A 

13 

i 

M 

mn 

A 

m 

A's 

4A 

14 

'    m 

tV 

3«V 

A 

H 

J 

8A 

15 

'    ^A 

A 

m 

^5S 

?ti  • 

A 

104 

16 

.     hi 

i 

m 

T% 

m 

A 

17? 

17 

'    m 

H 

2A\ 

1 

m 

J 

154 

18 

•    m 

A 

4fJ 

/y 

1^ 

J 

9 

19 

'    m 

A 

mi% 

t'A 

m 

A 

15ft 

20 

.    m 

U 

u 

tV^ 

m 

A 

H 

21 

•    m 

i 

5fy\ 

A 

lii 

ft 

14 

22 

.       AV 

i 

2im 

A 

AV 

iJ 

8 

23 

.    an 

tVb 

6M§J 

ifr 

Iff 

41 

20ft 

24 

•         S\fj 

i 

m 

TfT 

3?^ 

A 

10 

25 

.      U 

A 

mi 

tMt 

tV^j 

Or 

n 

145 
5t 

3J 

3ft 

5ft 

6^ 

5A 

3fi 

1ft 

IH 

5ft 

8H 

1ft 

2|4 

3? 

3ft 

lii 

m 

5ft 

7ft 
lif 
5tJ 
2i"r 

4ft 
2|f 


70 


DRILL  EXERCISES. 


COIIMON 

PBACTIONS  (page  123). 

Examples. 

146 

147 

148 

149 

150 

151 

152 

1. 

ll^ 

94i 

IH 

■h 

tV 

81 

s 

2. 

Z(i2\ 

202| 

m 

A 

^ 

30 

it 

3. 

110| 

86,\ 

m 

^(s's 

A 

76| 

1 

4. 

346 

2814 

u\ 

i^r 

T«5 

1424 

i? 

&. 

600J 

282J§ 

n 

if 

T^ 

98 

?? 

6. 

262* 

18211 

2A 

T»3V 

^iT 

108t 

u 

7. 

156S 

72ii 

1^ 

3% 

/ir 

120 

u 

8, 

149 

33J 

1t¥5 

if 

A 

144 

§ 

9. 

1,2m 

126fj 

2H 

A 

T?5 

120 

A 

10. 

968f 

260JJ 

IJI 

US 

1!^ 

60A 

A\ 

11. 

742| 

347IJ 

1#5 

/^v 

A 

113i 

m 

12. 

877J 

141 

6B 

/s 

SV 

65A 

A 

13. 

226i 

130^ 

lA 

5% 

A 

68f 

15 

14. 

908 

36451 

ll? 

tf% 

A 

1134 

AV 

15. 

979i 

296?j 

24 

/s^ 

3^ 

154? 

A\ 

16. 

1,221 

122^ 

3 

i*r 

A 

1284 

tV 

17. 

872J 

165H 

IH 

A 

tIj 

974 

1% 

18. 

523i 

295J 

2#ir 

SViT 

xliT 

874 

§? 

19. 

725J 

328,', 

4? 

AV 

I?T 

133 

e 

20. 

490i 

191| 

1* 

T% 

sV 

1154 

*? 

21. 

870f 

332Jf 

3^^ 

Ti^ 

lis 

85t 

A-V 

22. 

220t 

68i§ 

m 

^'s 

T^r 

lOStV 

ii 

23. 

1,780 

565^^j 

54\ 

T*ir 

W 

1064? 

«S 

24. 

496J 

225i 

3^ 

A 

A 

3024 

?* 

25. 

1,031J 

282iV 

^^ 

^ 

sfii 

85A 

tW 

ANSWERS. 


71 


154 

m 

HI 

m 
m 


^232 


COMMON   FRACTION'S  (page  123). 


155 
JlJL 


m 

tY2 


1/^5 

\m 

IJJt 

i§« 

lA 

A 

2t*2\ 

3% 

IM? 

iie 

2J§ 

MJ 

i4^ 

!» 

2ii 

«J 

ise 

157 

158 

159 

3i§ 

H 

1^ 

80^ 

11t¥5 

IsViT 

li¥ff 

150} 

3i?J 

2¥i 

SS 

46| 

3tt 

ift'lT 

«l 

1451 

2§l 

•ft 

li^'o 

135H 

3m 

lA'-o 

liJ 

77it 

m 

5J3 

m 

61ii 

m 

//h 

m 

32H 

m 

let 

m 

107H 

m 

A".-^ 

1t¥j 

165}| 

2fyv 

^h 

m 

241J 

28JI 

m 

1t5s 

129^5 

2| 

■e^ 

1^ 

59^1 

5A 

m 

HI 

159ii 

5if 

J 

It 

162| 

5 

ii 

li 

103A 

2§Jf 

H 

Is-o'? 

106J 

4M 

l^^-o 

1^/5 

135/j 

6g| 

2?^ 

lifl 

201iJ 

6#s 

?S 

it 

91|f 

6H 

l3'*\ 

nn 

256? 

6§l 

ItVt 

■i-^h 

62tf 

Sj-'A 

2H 

I5W5 

31211 

7A 

Ifi 

HI 

1351 

14* 

1;^ 

III 

224f 

160 

HUH 

Mm 

99000 

:^554  2j 

3M-eH 


2nm 
3iMtfe 


72 


DRILL  EXERCISES. 


COMMON   FRACTIONS   (page   123). 


Examples. 
1. 


4. 

5. 

6. 

7. 

8. 

9. 
10. 
U. 
12. 
13. 
14. 
15. 
16. 
17. 
18. 
19. 
20. 
21. 
22. 
23. 
24. 
25. 


161 

162 

iS3 

iS-i 

165 

iffe 

16J 

m 

lOftV 

m 

5i5 

i§ 

43Jf 

n 

16§ 

Ij^iT 

17? 

ii% 

23-,^ 

20A 

7 

i«f 

14e* 

3iV 

35i|J 

14^ 

22H 

*a 

22J 

m 

53JI 

13/t 

9iii 

lij 

29t'/5 

3^ 

73t 

19iYt 

14A^^ 

111 

25J 

4tV 

18115 

22ift% 

8ii\ 

m 

7S 

IJJ 

46A 

48| 

n 

iU 

1511 

3A 

203/j 

38f 

14 

H 

35^ 

m 

59ie 

lOie 

7^r 

li% 

2%\ 

2t\% 

43i?5 

1011 

ISA-j 

IJI 

17 

mi 

73i 

57=jV 

m 

ItJs 

3O5V 

liiS 

60A 

24iS 

4M\ 

IJ 

41H 

9A 

mi 

25J 

10? 

lie 

48J8 

3U 

1221 

20iS 

21 

s 

44ii 

3,V 

222 

43i 

14} 

f 

37i»s 

2|3 

T9iJ 

29yj 

m 

i§j 

36§ 

35>r 

97t% 

12,V 

25A 

n 

31i 

3iV 

187A 

13Jlt 

59=/A 

li 

22|i 

2tH 

59A 

mi 

10 

H 

sm 

4iV 

705 

mu 

19i?i 

i^''^ 

22* 

IJJ 

G51J 

23A 

25m 

m 

10| 

1ft 

300^J 

12t«| 

53tWiT 

m 

43}? 

2,% 

265 

2034 

176| 

^ 

231 

2A 

77H 

25JJ 

18i 

?J! 

30/r 

in 

ANSWERS. 


73 


COMMON 

FRACTIONS  (page  123). 

168 

169 

170 

171 

172 

173 

174 

175 

n 

38A 

211 

34i 

$  67.50 

li 

$9.26 

4ft 

3A 

14,^ 

191J 

191 

126.00 

IH 

9.53 

5ft 

13f 

34H 

13i 

29i 

28.00 

1? 

5.48 

n 

m 

49iJ 

21ft 

37J 

117.00 

1ft 

16.47 

5hh 

12A 

45ft 

56 

42 

92.40 

2ft 

7.39 

^i'A 

17A 

51 

13J 

43i 

44.57 

m 

13.37 

m 

17H 

48 

28 

38 

46.25 

2ft 

5.76 

SiVt 

40J 

4315 

lift 

29f 

10.89 

44 

2.57 

ift 

32} 

46ft 

2.^ 

43* 

53.67 

9f 

7.87 

2ft 

lOH 

29,V 

90 

34f 

107.50 

m 

3.87 

4ft% 

9ii 

505 

73i 

49 

206.50 

2ft 

12.53 

6}i« 

15S 

31ft 

27H 

38f 

92.59 

6| 

16.97 

3e 

19iS 

31ft 

12J 

251 

14.38 

m 

2.68 

m 

13|i 

49i 

28 

44| 

102.86 

m 

13.20 

4/ft 

16|S 

56}S 

24 

46f 

98.00 

Hi 

19.60 

4ft«r 

35 

48J 

27i 

44 

48.40 

10 

8.47 

2 

26Ji 

45J 

39f 

44J 

54.78 

5ft 

4.79 

2111 

g^'j 

35i^ 

18i 

32i 

95.33 

m 

15.66 

m 

llA 

55ft 

22| 

49f 

163.40 

2ft 

49.02 

5}fi 

15§ 

42 

16i 

33 

47.14 

m 

8.49 

3tB7 

8sl 

40f 

34f 

45J 

220.00 

2«i 

23.83 

6iM 

ISs's 

37ig 

14ig 

30 

44.59 

3ft 

11.29 

2*1 

Vo 

4Tft 

33ft 

50f 

248.89 

3ft 

48.53 

6fS 

13iJ 

71ft 

16ft 

46i 

102.00 

2ft 

75.89 

4ft% 

9i?, 

36M 

315 

41| 

184.89 

3§i 

25.42 

5ft'. 

176 

45 

19ft 
21 

52 

im 

18ft 

m 
2 

2f5 
7ft^r 
181? 
4|f 

61? 

lot? 

7,»ft 

2t 

3iii 
161t 
15?i 

7ft 
14|| 

544 
13ft 
12if 

m 


74 


DRILL  EXERCISES. 


DECTMAI 

1   FRACTIONS  (page   135). 

Examples. 

179 

180 

iSi 

182 

183 

1. 

25.002 

^ 

^QOO 

0.056 

25.027 

2. 

0.0206 

iga 

m 

0.5937... 

25.7706 

3. 

700.8 

m 

AVlT 

0.0556 

701.1504 

4. 

0.00404 

m 

?i^ 

0.0015 

1.01404 

5. 

50.5050 

^50 

1^5^^ 

0.575 

300.505 

6. 

8.96 

T^Viy 

i^a 

0.0025 

8.9608 

7. 

5,002.05 

-¥oV 

f 

0.1481... 

5,018.055 

8. 

0.00016 

&i)-jOJ) 

Tk 

0.8125 

8,000.00016 

9. 

0.000112 

¥ 

II 

0.2312... 

5.600112 

10. 

2.25 

\U 

£^1 

0.0703... 

2.953 

11. 

701.6 

VsV 

¥/ 

0.064 

720.964 

12. 

2.206 

^frs 

w 

1.0625 

2.2576 

13. 

0.0936 

m 

«00i 

0.3809... 

1.8256 

14. 

54.054 

aiijifl 

3fMu 

0.9166... 

8,070.054 

15. 

806.001047 

M 

!me 

0.5555... 

810.951047 

16. 

500.26 

iJff 

v#- 

0.4666... 

500.272 

17. 

0.001000 

>AW 

T^Siiy 

0.0378... 

12.008 

18.  . 

0.000029 

¥/ 

m% 

8.2272... 

45.900029 

19. 

8.46291 

fSSJ 

m^ 

0.6785... 

17.08391 

20. 

0.511 

50000 

V- 

0.0769... 

0.51662 

21. 

4,271.0004271 

liyi.a 

yei 

0.1904... 

5,273.0004271 

n. 

68,000.4^ 

V 

nih 

0.2941... 

68,002.325 

23. 

0.122 

jWiT 

ip 

0.2857... 

0.244 

24. 

8.04^ 

?8J 

yij^yiy 

2.9473... 

9.057^ 

25. 

500.0^ 

VoV 

ten 

0.0875 

508.40^ 

ANSWERS. 

,7^ 

DECIMAL   FRACTIONS  (page  135) 

184 

185 

186 

5,025.002 

5,025.027 

24.977 

1.6686 

27.4186 

25.7294 

701.457 

701.8074 

700.4496 

0.00654 

1.01654 

1.00596 

50.51 

300.51 

199.495 

456.96 

456.9608 

8.9592 

5,004.55 

5,020.555 

4986.045 

0.00816 

8,000.00816 

7999.99984 

1.680112 

7.280112 

5.599888 

609.25 

609.958 

1.542 

719.68 

739.044 

682.236 

11.366 

11.4176 

2.1544 

800.1936 

801.9256 

1.6384 

54.0592 

8,070.0592 

7,961.946 

808.077347 

813.027347... 

801.051047 

518.525 

518.537 

500.248 

0.0111 

12.0181 

12.006 

3.071229 

48.971229 

45.899971 

88.52291 

97.14391 

0.15809 

5.911 

5.91662 

0.50538 

4,271.6809271 

5,273.6809271 

3,269.0004271 

68,004.521 

68,006.396 

67,998.575 

24.522 

24.644 

0. 

8.0430^ 

9.0580t 

7.027^ 

501.1371 

509.472^ 

491.731 

76 


DRILL  EXERCISES. 


DECIMAI 

J   FRACTIONS  (page  135). 

Examples. 
1. 

187 

4,999.975 

188 

4,974.998 

189 

0.62505 

2. 

24.102 

1.6274 

0.53045 

3. 

0.3066 

700.143 

.  245.56032 

1. 

1.0075 

0.00154 

0.0040804 

5. 

249.995 

50.5 

12,626.25 

6. 

447.9992 

439.04 

0.007168 

7. 

13.505 

4,999.55 

80,057.81025 

8. 

7,999.992 

0.00784 

1.28 

9. 

3.92 

1.679888 

0.0006272 

10. 

606.292 

604.75 

1.593 

11. 

1.284 

683.52 

13,585.7824 

12. 

9.1084 

6.954 

0.1138296 

13. 

798.368 

800.0064 

0.1621152 

14. 

8,015.9948 

54.0488 

433,296.864 

15. 

2.8737 

803.924747 

3,989.70518265 

16. 

18.253 

481.995 

6.00312 

17. 

11.9969 

0.0091 

0.012007 

18. 

42.8288 

3.071171 

0.0013311 

19. 

71.439 

71.59709 

72.95874711 

20. 

5.39438 

4.889 

0.00287182 

21. 

1,001.3195 

4,270.3199271 

4,279,542.4279542 

22. 

2.196 

67,996.379 

127,500.84375 

23. 

24.278 

24.278 

0.014884 

24. 

1.0148 

8.0426t 

8.1635 

25. 

7.263$ 

498.995J 

4,167.777f^ 

ANSWERS. 

DECIMAL   FKACTIONS   (page  135). 

190 

191 

192 

125 

125,010 

0.000999... 

42.436 

0.0339488 

1,250 

0.2302128 

460.4256 

0.0005 

0.002525 

0.0000101 

250 

1.25 

0.252525 

4.950004... 

0.3584 

4,014.08 

0.000089... 

40.0125 

12,505.125 

0.003199... 

64 

0.00000128 

50,000,000 

9.408 

0.00018816 

50,000 

429.756 

1,365.75 

0.314666...' 

350.10112 

12,684.928 

0.027599... 

0.472656 

20.20696 

0.023390... 

1,385.7732 

74.88936 

18.504273... 

41.6832 

0.2810808 

148.296148... 

10.277685 

1,673.4999738861 

0.006141... 

0.219180 

9,137.2489 

0.000023... 

0.1212707 

0.0000101 

12,007 

140.96808 

0.0000890648 

1,582,758.620689 

690.19726 

677.5405746 

1.018680... 

0.030348 

2.7594 

0.010998... 

681.861 

2,906.41579064155 

0.234605... 

7.633125 

276,829.83195 

0.000027... 

2.9768 

2.9768 

1 

0.000203 

0.001608f 

0.126198... 

8.92619 

535.5714 

0.016666... 

77 


78 


DRILL  EXERCISES. 


DECIMAL   FRACTIONS  (page  135). 

Examples. 
1. 

193 

200,000 

194 

199.984... 

195 

5,000.50002 

2. 

0.064 

80 

259.148206 

3. 

1.875 

0.000937... 

11.169 

4. 

0.002475... 

0.618811... 

10.1025404 

5. 

0.00002 

0.000099... 

2,500.51005 

6. 

560,000 

50 

448.0976 

7. 

0.156201... 

0.000499... 

212.5705 

8. 

0.000001 

50 

80,000.0080016 

9. 

0.3 

15,000 

57.68000112 

10. 

857.344632... 

269.777777... 

614.1025 

11. 

0.933691... 

0.025769... 

218.736 

12. 

177.519379... 

4.152311... 

9.69806 

13. 

461.951501... 

8,548.076923... 

817.420936 

14. 

0.0000006... 

0.000096... 

80,160.54574 

15. 

0.419454... 

0.002576... 

59.63631047 

16. 

1,522.083333... 

0.036511... 

23.3876 

17. 

0.000841... 

10.1 

120.08011 

18. 

0.066910... 

105,903.448275... 

462.07120029 

19. 

9.286625... 

9.460102... 

166.3546291 

20. 

960.854092... 

10.567514... 

5.46131 

21. 

0.000679... 

0.000159... 

10,063.390504271 

n. 

2.1712 

0.000059... 

702.8255 

23. 

200 

200 

25.62122 

24. 

0.000197... 

0.000002... 

10.2304^ 

25. 

0.128502... 

0.002141... 

89.4165... 

ANSWERS. 

79 

COMPOUNE 

NUMBERS   (page 

171). 

196 

197 

198 

10,000  lb. 

120  oz. 

86,854  oz. 

11,200  lb. 

543  lb. 

2,079  lb.          \ 

1,200  pwt. 

234  pwt. 

870  pwt. 

26,400  ft. 

16  ft. 

572  ft. 

512,000  sq.  rd. 

641  sq.  yd. 

7,689  sq.  rd. 

233,280  cu.  in. 

24,521  cu.  in. 

307,362  cu.  in. 

640  cu.  ft. 

302  cu.  ft. 

11,884  cu.  ft. 

160  gi. 

7pt. 

37  pt. 

320  pt. 

79  pt. 

170  qt. 

108,000^ 

5,894'' 

1,008,148" 

43,800  hours. 

8,355  hours. 

17,706  hours. 

2,635,200  min. 

1,270  min. 

11,285  min. 

990  in. 

33  in. 

3,110  in. 

24,200  sq.  yd. 

11,774  sq.  in. 

735,345  sq.  in. 

-     80  pt. 

7gi. 

54  gi. 

18,000'^ 

4,138'' 

67,014" 

2,400  gr. 

551  gi. 

5,732  gi. 

180  in. 

27  in. 

196  in. 

1,3611  sq.  ft. 

89  sq.  ft. 

53,001  sq.  in. 

40  gi. 

7gi. 

22  gi. 

50,400  min. 

1,421  min. 

642  hours. 

6,480  sq.  in. 

3,916  sq.  in. 

5,652  sq.  in. 

432,000  sec. 

2,898  sec. 

244,542  min. 

720  sq.  in. 

25,740  sq.  in. 

146,998  sq.  in. 

720  units. 

250 

1,197 

80 


DRILL  EXERCISES. 


COMPOUND   ] 

erUMBERS  (page  171). 

Examples^ 
1. 

199 

200 
66  T.  687  lb. 

2. 

nu  T. 

59T.  4cwt.  2qr.  231b. 

3. 

1341  lb. 

552  lb.  10  oz.  7  pwt. 

4. 

^^^  m. 

25m.  41  rd.  3yd.  lift. 

5. 

3?f§ksq.ni. 

1  sq.  m.  189  A.  47  sq.  rd. 

6. 

Tfn?cu.yd. 

2  cu.  yd.  22  cu.  ft.  1,359  cii.  in. 

7. 

25§i  cd. 

l,036cd.  4cd.  ft.  15cu.  ft. 

8. 

102f  gal. 

4,146gal.  Iqt.  Ipt.  3gi. 

9. 

51  tV  bu. 

2,073  bu.  7  qt.  1  pt. 

10. 

/A^(j  circ. 

6  circ.  51°  27'. 

11. 

!^rW  c.  y. 

15y.  53  d.  15h. 

12. 

T^WffTT  1-  y. 

92d.  3h.  27min. 

13. 

16^ e  rd. 

2  m.  30  rd.  2  ft.  3  in. 

14. 

i^i^iV  A. 

27  A.  66  sq.  rd.  10^  sq.  yd. 

15. 

2051  pk. 

2,073  bu.  7  qt.  1  pt. 

16. 

fU° 

36°  51'  27". 

17. 

6Hi  oz. 

23  lb.  0  oz.  8  pwt.  15  gr. 

18. 

m  yd. 

2  m.  30rd.  2  ft.  3  in. 

19. 

12^fi|^sq.rd. 

3A.  7sq.rd.  11  sq.  yd.  2i  sq.  ft 

20. 

410^  qt. 

4,146  gal.  1  qt.  1  pt.  3  gi. 

21. 

^^  week. 

13 w.  Id.  3h.  27min. 

22. 

2HI  sq.  yd. 

3sq.  rd.  11  sq.  yd.  5  sq.  ft.  99  sq.  in 

23. 

i^Uh  d. 

1  d.  12  h.  51  m.  27  8. 

24. 

22iil  sq.  ft. 

3sq.rd.  llsq.yd.  5  sq.ft.  99  sq.  in 

25. 

222J  gross. 

76  gr.  gr.  9  gr.  5  doz.  3. 

ANSWERS. 


81 


33,931y7^  cu.  in. 

93^V  cu.  ft. 

23x\gi. 

46A  pt. 

15,709^^' 

6,3701^  hours. 

383,301^T  min. 

144  in. 

3,520  sq.  rd. 

11/t  pt. 
2,618t2j-/' 

349Tir  gr. 

26Tft:  in. 

198  sq.  ft. 

7,330|^  min. 
942y\  sq.  in. 
62,836y\  sec. 
104j\  sq.  in. 
104^. 


202 
925.4  lb. 


COMPOUND  NUMBERS  (page  171). 

201 
l,454y\  lb. 

l,629xV  lb. 

174y\  pwt. 

3;840  ft. 

74,472y\  sq.  rd. 


1,036.448  lb. 

111.048  pwt. 

2,443.056  ft. 

47,380.48  sq.  rd. 

21,587.7312  cu.  in. 

59.2256  cu.  ft. 

14.8064  gi. 

29.6128  pt. 

9,994.32' 

4,053.252  hours. 

243,861.408  min. 

91.6146  in. 

2,239.468  sq.  yd. 

7.4032  pt. 

1,665.72" 

222.096  gr. 

16.6572  in. 

125.97001  sq.  ft. 

3.7016  gi. 

4,664.016  min. 

599.6592  sq.  in. 

39,977.28  sec. 

66.6288  sq.  in. 


203 

m^i  T. 

■^^  cwt. 

fib. 

|rd. 

mi  cu.  yd. 
§1  cd. 
I  gal. 
tV  ^". 

37  o 

xlk  c.  y. 
%m  sq-  rd. 

|qt. 

yr 

I  yd. 

ill  sq.  yd. 

fqt. 

f|w. 

M  sq.  yd. 

hU  d. 

mU  sq.  rd. 

A  gross. 


82 


DRILL  EXERCISES. 


204 
0.3128...  T 


COMPOUND    NUMBERS  (page  171). 
205 


0.6375 1.T. 

0.6875  lb. 
0.6272...  m. 
0.8750...  sq.m. 
0.1674...  cu.yd. 
0.3593...  cd. 
0.75  gal. 
0.7812...  bu. 
0.2518...  circ. 


0.0123., 

0.1796. 

0.9698., 

0.1827. 

0.3125  pk. 

0.8625^ 

0.8416., 

0.1292., 

0.9733 

0.25  qt. 

0.5  wk. 

0.0092...  sq.  yd. 

0.5479...  d. 

0.0169...  sq.  rd. 

0.5972...  gro. 


c.y. 

i.y. 

m. 
A. 


lb. 
m. 
sq.  rd. 


II 

mu 

m 

i 

m 

f947 

Mi 


an  ^7 
7T5(JJ?5 


1782 


206 
7T.  611b.  lOoz. 


i-n 


61.  T.  16cwt.  181b. 

14  lb.  3  oz.  9  pwt. 

10  m.  236  rd.  2  yd.    ^  ^ 

1  sq.  m.  608  A.  15  sq.  rd.  4  sq. 

15  cu.  yd.  7  cu.  ft.  1007  cu.  in. 

195  cd.  4  cd.  ft.  8  cu.  ft. 

31  gal.  1  qt. 

16  bu.  1  pk.  2  qt.  1  pt. 

2  circ.  12^20' 42'^ 

5y.  360d.  9h. 

ll.y.  74d.  Ilh.l5m. 

7  m.  6  rd.  1  yd.  11  in. 

6  A.  48  sq.  rd.  9  sq.  yd.  83  sq.  in. 

8  pk.  2  qt.  1  gi. 

74°  Sr  37". 

61b.  11  oz.  3  pwt.  19  gr. 

3  m.  42  rd.  2  yd.  2  ft.  1  in. 

7  sq.  rd.  19  sq.  yd.  6  sq.  ft.  81  sq. 

1  gal.  2  qt.  1  pt.  3  gi.  ^"^* 

32w.  3d.  5h.  41m. 

28  sq.  yd.  3  sq.  ft.  76  sq.  in. 

ly.  89d.  9h.  39m.  18s. 

15  sq.  rd.  115  sq.  ft.  28  sq.  in. 

1  gr.  gr.  10  gr.  7  doz.  9. 


ANSWERS. 


83 


Examples. 
1. 


COMPOUND   NUMBERS  (page  171). 

207  208 

3  T.  285  lb.  8^  oz.         1164  lb.  U  oz. 

1 1.  T.  7  cwt.  15  lb. 


4  lb.  12f  pwt. 

171  rd.  4  yd.  1^^  ft. 

322  A.  54f  rd. 

7  cu.  yd.  765f  cu.  in. 

93  cd.  2  cd.  ft.  2f  cu.  ft. 

5  gal.  If  gi. 

5  bu.  2  pk.  7f  qt. 

1  circ.  74^  19'  36t''. 

2  c.  y.  164  d.  ^  h. 
164  d.  16  h.  39f  m. 

16  rd.  2  ft.  2f  in. 

[sq.  in. 

87  sq.  rd.  89  sq.  ft.  55f 
1  pk.  2  qt.  n  gi. 

19^  2'  36«-". 

1  lb.  7  pwt.  9^  gr. 

5  yd.  2  ft.  7f  in. 

[in 
I  sq.  rd.  23  sq.  yd.  5  sq.  ft.  70A  sq 

3  qt.  n  gi. 
4  w.  1  d.  18  li. 

[in 

4  sq.  yd.  7  sq.  ft.  15^  sq. 
170  d.  5  h.  m\  m. 

Tsq.  ir> 

3  sq.  rd.  204  sq.  ft.  71^ 
8  gr.  8  doz.  lOf 


16  cwt.  1  qr.  18.616  lb. 

1  lb.  6  oz.  12.816  pwt. 

186  rd.  0.952  ft. 

370  A.  30  sq.  rd.  8.84  sq.  yd. 

1  cu.yd. 2 cu.  ft.  1,394.8304  cu.  in. 

2  cd.  7  cd.  ft.  8.0352  cu.  ft. 

1  gal.  1  qt.  1  pt.  2.5088  gi. 

1  bu.  3  pk.  2  qt.  0.0176  pt. 

209°  51'  40.4''. 

ly,  194  d.  5.78411. 

212  d.  13  h.  49.936  m. 

4  yd.  3.5232  in. 

[sq.  in. 

92  sq.  rd.  25  sq.  yd.4  sq.  ft.  124.976 

5  qt.  1  pt.  0.0176  gi. 

1°  43'  40.24". 

1  oz  14  pwt.  12.632  gr. 

1  yd.  11.8224  in. 

27  sq.  yd.  3.4694  sq.  ft. 

1  qt.  3  6272  gi. 

5  d.  51.272  m. 

3  sq.  yd.  5  sq.  ft.  57.6064  sq.  in. 

14  h.  41  m.  11.76  s. 

179  sq.  ft.  47.2896  sq.  in. 

2  gr.  3  doz.  9.2896. 


84 


DRILL  EXERCISES. 


Ex. 
1. 

2. 


4. 

5. 

6. 

7. 

8. 

9. 
10. 
11. 
12. 
13. 
II. 
15. 
16. 
17. 
18. 
19. 
20. 
21. 
22. 
23. 
2i. 
25. 


COMPOUND   NUMBERS   (page   171). 

210 

1  T.  1,197  lb.  6  oz. 
41.T.  14cwt.  211b. 


209 

2  T.  1420  lb.  14  oz. 


13  cwt.  2  qr.  24  lb. 

2  lb.  7  oz.  16  pwt. 

33  rd.  3  yd.  2  ft.  6  in. 

48  A.  6  sq.  rd.  26  sq.  yd.  2  sq.  ft.  36  sq.  in. 

6  cu.  yd.  1  cu.  ft.  1,177  cu.  in. 

90  cd.  3  cd.  ft.  14  cu.  ft. 

3  gal.  3  qt. 

4  bu.  2  qt.  1  pt. 
278^  24'  14". 

1  y.  24  d.  15  h. 
6  d.  22  h.  55  m. 
15  rd.  8  ft.  11  in. 

18  sq.  rd.  13  sq.  yd.  7  sq.  ft.  43  sq.  in. 

5  qt.  1  pt.  3  gi. 
17'  27'  56". 

10  oz.  15  pwt.  21  gr. 

4  yd.  2  ft.  1  in. 

31  sq.  yd.  9  sq.  in. 

1  qt.  1  pt.  3  gi. 

3  w.  4  d.  18  h.  19  m. 

1  sq.  yd.  3  sq.  ft.  8  sq.  in. 

169  d.  18  h.  53  m.  42  s. 

3  sq.  rd.  25  sq.  ft.  46  sq.  in. 

6  gr.  6  doz.  11. 


6  lb.  15  pwt. 

10  m.  166  rd.  1  ft. 

1  sq.  m.  511  A.  155  sq.  rd. 

1  cu.  yd.  15  cu.  ft.  1,122  cu.  in. 

7  cd.  4  cd.  ft.  2  cu.  ft. 

21  gal.  1  pt. 

4  bu.  1  pk.  7  qt. 

170"  37'  32". 

361  d.  18  h. 

ll.y.  57d.21h.  55  m. 

6  m.  294  rd.  3  yd.  1  ft.  10  in. 

[in. 

5  A.  10  sq.  rd.  132  sq.  ft.  27  sq. 

6  pk.  3  qt.  1  pt.  2  gi. 

36="  14'  51". 

4  lb.  10  oz.  3  pwt.  4  gr. 

3m.40rd.  2  yd.  2iii. 

-  I  ill. 

4  sq.  rd.  18  sq.  yd.  7  sq.  li.  -7 

Ipt. 

24  w.  4  d.  18  h. 

16  sq.  yd.  5  sq.  ft.  120  sq.  in. 

114d.  17h.  27  m. 

7  sq.  rd.  72  sq.  ft.  116  s<i.  in. 

4  gr.  3  doz.  5. 


ANSWERS. 

COMPOUND    NUMBERS    (page  171). 

Examples. 

211 

1. 

25  T.  1,754  lb.  8  oz. 

2. 

33 1.  T.  16  cwt.  2  qr. 

3. 

5S  lb.  1  oz.  10  pwt. 

4. 

63  m.  244  rd.  2  yd. 

5. 

11  sq.  m.  160  A.  24  sq.  rd. 

6. 

49  cii.  yd.  216  cu.  in. 

7. 

602  cd.  led. ft.  4cu.ft. 

8, 

154  gal.  2  qt. 

9. 

58  bu.  2  pk.  6  qt. 

10. 

7  circ.  184°. 

11. 

18  c.  y.  27  d. 

12. 

71.y.28d.  12h. 

13. 

41  m.  262  rd.  1  yd. 

14. 

31  A.  15  sq.  rd.  123  sq.  ft.  108  sq.  in. 

15. 

43  pk.  7  qt. 

16. 

329°  10^  30^'. 

17. 

35  lb.  12  pwt. 

18. 

18  m.  248  rd.  1  yd. 

19. 

35  sq.  rd.  25  sq.  yd.  3  sq.  ft.  108  sq.  in. 

20. 

4  gal.  3  qt.  1  pt. 

21. 

171  w. 

22. 

4  sq.  rd.  5  sq.  yd.  72  sq.  in. 

23. 

4y.  247d.  6h.  54  m. 

24. 

66  sq.  rd.  3  sq.  yd.  108  sq.  in. 

25. 

6  gr.  gr.  3  gr.  7  doz. 

85 


86 


DRILL  EXERCISES. 


COMPOUND    NUMBERS   (page    171). 

Examples. 

212 

213 

1. 

112  lb.  8  oz. 

8621b.  9^  oz. 

2. 

31.T.  12cwt.  2qr.251b. 

11  cwt.  1  qr.  2  lb.  12|  oz. 

3. 

14  lb.  7  oz.  10  pwt. 

11  oz.  12  pwt.  12  gr. 

4. 

14  rd.  3  yd. 

1  m.  20  rd.  1  ft.  2f  in. 

5. 

3*1  sq.  rd.  29  sq.  yd.  6  sq.  ft.  108  sq.  in 

120  A.  12  sq.  yd.  129|  sq.  in. 

6. 

7  cu.  yd.  23  cii.  ft.  1,479  cu.  in. 

22  cu.  ft.  90  cu.  in. 

7. 

35  cd.  3  cd.  ft.  2  cu.  ft. 

10  cd.  4f  cu.  ft. 

8. 

13  gal.  1  pt. 

2  gal.  2  qt.  2f  gi. 

9. 

18  bu.  2  pk.  1  pt. 

3  pk.  7  qt.  2f  gi. 

10. 

24°  33'  30''. 

45°  4'. 

11. 

14y.  Hid.  21h. 

109  d.  22  h.  48  m. 

12. 

13  d.  5  h.  30  m. 

43  d.  4  h.  12  m. 

13. 

2  rd.  2  yd.  2  ft.  3  in. 

223  rd.  7i  in. 

14. 

4  sq.  rd.  15  sq.  yd.  2  sq.  ft.  C6  sq.  in. 

82  sq.  rd.  251  sq.  ft.  90  sq.  in 

15. 

J  pk.  5  qt.  1  gi. 

5  qt.  1  pt.  2f  gi. 

16. 

17°  14'  30". 

5'  29'  lOi". 

17. 

1  lb.  5  oz.  4  pwt.  9  gr. 

7  oz.  4|  gr. 

18. 

2  rd.  9  in. 

100  rd.  2  ft.  3  in. 

19. 

4  sq.  rd.  27  sq.  yd.  3  sq.  ft. 

18  sq.  yd.  90  sq.  in. 

20. 

3  gal.  1  qt.  1  gi. 

2^gi. 

21. 

14  d.  19  h.  15  ra. 

2  w.  5  d.  22  h.  48  m. 

22. 

1  sq.  rd.  15  sq.  yd.  96  sq.  in 

2  sq.  yd.  130|  sq.  in. 

23. 

12  h.  4  m.  30  s. 

28  d.  10  h.  54  m.  54  s. 

24. 

9  sq.  rd.  25  sq.  yd.  6  sq.  ft 

1  sq.  rd.  3  sq.  yd.  99  sq.  in. 

25. 

2  gr.  gr.  2  gr.  6. 

Igr.  3doz.  1^. 

ANSWERS. 


87 


COMPOUND   NUMBERS   (page   171). 

214 

775  lb.  7f  oz. 

2  cwt.  2  qr.  17  lb. 
6  oz.  4  pwt.  6f  gr. 

4  rd.  5  yd.  8f  in. 

[sq.  in. 

6  A.  138  sq.  rd.  12  sq.  yd.  8  sq.  ft.  97f 

25  cu.  ft.  708f  cu.  in. 

13  cd.  2  cd.  ft.  If  cu.  ft. 

2  qt.  1  pt.  11  gi. 

3pk.2fgi. 

40^  211'^ 

105  d.  9  h.  25  m.  42f  s. 

1  d.  2  h.  52  m.  ^  s. 

2  rd.  4  ft.  f  in. 

2  sq.  rd.  185  sq.  ft.  If  sq.  in. 

1  pt.  3f  gi. 

2^  39'  33f '. 

1  oz.  14  pwt.  2f  gr. 

2  ft.  4  in. 

5  sq.  yd.  7  sq.  ft.  83f  sq.  in. 

3fgi. 

3  d.  19  h.  42  m.  51f  s. 

5  sq.  ft.  87^  sq.  in. 
24  d.  6  h.  14  m.  34f  s. 
145  sq.  ft.  119f  sq.  in. 

1  gr.  2  doz.  3. 


215 
21,713i 

519| 

217\ 

143 

1,9221 
76,840^ 

2,971 

421 
252,037 
4,4261 
2,8211 
7771 
183,8361 
13^ 
16,753^ 
1,433 
49 
13,2501 
51 
160^ 
1,413 
61,135^ 
36,749^ 
299i 


88 


DRILL  EXERCISES. 


PERCENTAGE  (page  253). 


The  follow 
hat  pupils  at 
Examples. 

1. 

Ing  answers  in  percer 
lould  be  required  to  i 

216 
$  32.004 

itage  are  cither  exact 
jive  answers  only  to  tl 

217 
$  2.1336 

or  carried  out  to  mi 
le  nearest  cent 

218 

%  0.8696 

la,  but  it  is  suggeited 

219 
$  12,801.60 

2. 

24.432 

2.2905 

2.4622^ 

3,817.50 

3. 

2.71524 

0.36203^ 

0.58082^ 

3,016.933^ 

4. 

14.1076 

4.7025^ 

2.104 

35,269.00 

5. 

280.00 

10.00 

7.25 

57,142.8571 

6. 

9.6032 

1.2004 

2.268 

6,002.00 

7. 

0.99374 

0.05420f 

1.7492^ 

82.127tV 

8. 

0.805 

0.7043^ 

0.131341 

8,050.00 

9. 

305.00 

25.41^ 

46.605 

30,500.00 

10. 

50.4072 

1.1201^ 

0.56074 

6,223.1111 

11. 

18.024 

0.1877^ 

3.72841 

1,251.6665 

12. 

162.00 

43.20 

6.6728 

180,000.00 

13. 

13.808 

4.6026^ 

7.7370^ 

34.520.00 

14. 

5.4675 

0.3037i 

0.55784 

675.00 

15. 

42.503 

6.3754  L 

1.47441^ 

17,001.20 

16. 

0.71588 

0.01301^ 

1.316 

59.163/x 

17. 

70.001 

2.3333f 

1.1263i 

7,000.10 

18. 

0.382 

0.1528 

0.05538^ 

3,820.00 

19. 

23.6016 

2.36016 

4.6288 

14,751.00 

20. 

0.944 

0.0118 

0.467289 

147.50 

21. 

56.6342 

4.0453 

25.5375 

11,558.00 

22. 

78.4908 

0.327045 

9.1339 

5,450.75 

23. 

5,000.00 

6.00 

250.30 

20,000.00 

24. 

3,600.00 

2.88 

1,641.312 

3,600.00 

25. 

63.609 

2.726 

4.699 

12,981.42f 

ANSWERS. 

8£ 

PERCENTAGE   (page  253). 

220 

221 

222 

223 

224 

%  192,024.00 

2.5%  + 

%  29.8704 

$  30.48 

$  609.60 

40,720.00 

9.2  + 

22.1415 

22.623 

282.777 

22,627.00 

18.8  + 

2.35320f 

2.637 

87.871 

105,807.00 

11.1  + 

9.4050§ 

13.831 

691.549 

1,600,000.00 

2.5 

270.00 

261.683 

3,738.317 

48,016.00 

20.9  + 

8.4028 

9.234 

230.846 

1,505.661 

166.9  + 

0.93953g 

0.896 

8.138 

9,200.00 

8.7  + 

0.10061 

0.798 

79.702 

366,000.00 

14.1  + 

279.58^ 

277.273 

2,772.727 

280,040.00 

1.0  + 

49.2870f 

46.246 

513.834 

120,160.00 

20.4  + 

17.83621 

16.093 

134.107 

675,000.00 

3.2  + 

118.80 

157.282 

5,242.718 

103,560.00 

42.0  + 

9.2053^ 

13.538 

676.862 

12,150.00 

9.6  + 

5.1637^ 

5.017 

55.733 

113,341.33i 

3.0  + 

36.12751 

40.48 

809.58 

3,254.00 

180.5  + 

0.0702861 

0.645 

5.863 

210,003.00 

1.5  + 

67.6676^ 

63.638 

636.372 

9,550.00 

10.3  + 

0.2292 

0.379 

37.821 

147,510.00 

17.8  + 

21.24144 

22.694 

567.346 

11,800.00 

48.8  + 

0.9322 

0.875 

10.925 

161,812.00 

42.8  + 

52.5889 

52.93 

756.13 

1,308,180.00 

11.5  + 

78.163755 

70.082 

584.008 

16,666,6661 

5. 

4,994.00 

3,333.334 

Q,mQ.Q>m 

4,500,000.00 

45.5  + 

3,597.12 

1,800.00 

1,800.00 

302,900.00 

7.0  + 

60.882 

59.448 

849.252 

90 


DRILL  EXERCISES. 


PERCENTAGE  (page 

253). 

xamples. 

225 

223 

227 

1. 

June  20,  1873. 

$  0.094 

$  0.015^ 

2. 

Feb.  2,  1873. 

0.071 

0.011^ 

3. 

Oct.  27,  1876. 

0.295 

0.049J 

4. 

July  24,  1875. 

0.219^ 

0.036i7^ 

5. 

March  19,  1874. 

0.138L 

0.023^15 

6. 

Sept.  1,  1876. 

0.285^ 

0.047§^ 

7. 

May  15,  1879. 

0.448 

0.0741 

8. 

Nov.  22,  1874. 

0.179^ 

0.0291 

9. 

Sept.  30,  1875. 

0.2301 

0.038tV 

10. 

Dec.  14,  1871. 

0.002^ 

O.OOOi^ 

11. 

Feb.  27,  1873. 

0.075 

0.012^ 

12. 

April  21,  1873. 

0.084^ 

0.0143V 

13. 

Dec.  18,  1876. 

0.303i 

0.050/5^ 

14. 

Dec.  6,  1872. 

0.061^ 

O.OlOi 

15. 

Oct.  10,  1872. 

0.052J 

0.008y 

16. 

,Jmie29,  1872. 

0.335]^ 

0.055^ 

17. 

Feb.  24,  1872. 

0.014^ 

0.002^ 

18. 

August  15,  1874. 

0.163^ 

0.027/, 

19. 

March  14,  1872. 

0.0175 

0.002^ 

20. 

July  29,  1876. 

0.280^ 

0.046H 

21. 

Dec.  12,  1873. 

0.122.^ 

0.020^V 

22. 

Dec.  1,  1875. 

0.240i| 

0.040^ 

23. 

April  10,  1872. 

0.022^ 

0.003H 

24. 

Nov.  28,  1871. 

0.000^ 

O.OOOgV 

25. 

July  12,  1873. 

0.097^ 

0.0161 

ANSWERS. 


91 


229 

0.005§ 

0.0081 


PEKCENTAGE   (page  253). 
230 

I  0.083f 


0.019§ 

0.024/^ 

0.005ff 

0.023f| 

0.0441 

0.026H 

0.032  ^V 

O.OOOtVo 

O.OOl^^g. 

O.Ollf 

0.0331:1 

0.005^ 

0.006  2  f 

0.011,8^ 

0.0002  f 

O.OlO^a 

0.001^8. 

0.004}  21 

0.010j\ 

0.002Tk 
0.0003«,^^ 
0.000^^-,- 
0.004J 


0.103^1 

0.167^ 

0.097f 

0.167H 
0.2141 

0.866tV 
0.056  gL 

0.416i| 

0.004|i 

0.151^9^ 

O.O533H 

0.1341 

0.0971 

0.0491|3 

0.62511 

0.025/7 

0.038^^-^0 
0.012|a 

0.3782^0 
0.153^ 

0.483t^Jo 
O.lSOffti 
0.002e 

O.llSf 


231 

232 

$  50.139 

$  53.482 

28.911 

31.621 

13.349 

15.129 

51.61 

68.813 

Q^n.ho^ 

668.611 

45.748 

51.467 

7.419 

7.824 

2.406 

4.511 

1,171.708 

1,269.35 

2.38 

2.433 

22.53 

22.764 

227.25 

287.85 

69.845 

93.127 

5.604 

5.915 

36.953 

42.497 

4.001 

4.073 

17.111 

17.681 

1.038 

1.454 

6.949 

7.644 

4.41 

4.465 

115.628 

123.887 

314.835 

316.147 

1,861.111 

1,863.344 

10.00 

10.008 

103.364 

■107.794 

233 

I  700.247 

327.083 

117.207 

860.21 

4,553.333 

308.702 

13.081 

94.936 

3,753.025 

561.666 

161.465 

5,854.50 

899.936 

64.486 

894.404 

8.69 

710.276 

44.432 

600.464 

15.107 

908.169 

811.507 

10,223.333 

3,600.60 

997.298 


92 


DRILL  EXERCISES. 


PERCENTAGE   (page  253). 

pies. 

234 

235 

236 

S  93.835 

$  51.513 

8  742.566 

73.615 

29.764 

354.299 

7.815 

5.315 

104.999 

40.238 

23.673 

818.322 

836.057 

376.549 

4,640.468 

27.899 

17.382 

278.519 

3.074 

1.536 

10.479 

2.274 

1.611 

93.388 

935.74 

601.39 

3,538.356 

153.26 

54.139 

649.757 

56.297 

23.626 

174.248 

466.352 

230.437 

6,264.631 

39.384 

14.698 

800.944 

16.622 

5.738 

70.476 

124.618 

82.269 

986.167 

2.216 

1.208 

7.550 

214.762 

90.615 

812.092 

1.078 

0.659 

44.315 

68.567 

31.066 

684.514 

2.843 

1.654 

13.688 

169.104 

60.152 

938.603 

245.165 

81.824 

758.82 

21,500.00 

8,532.986 

11,601.17 

22,320.00 

4,522.50 

4,176.421 

189.93 

107.504 

1,054.197 

ANSWERS. 


93 


PERCENTAGE   (page   253). 


238 

5  m.  21  d. 

1  y.  19  d. 
5  y.  6  m.  18  d. 
4  y.  2  m.  10  d. 

4  m.  4  d. 
4  y.  7  m.  29  d. 
14  y.  4  m.  20  d. 

4  y.  7  m.  20  d. 
1  y.  3  m.  18  d. 

I  m.  12  d. 

1  y.  8  m.  7  d. 

10  m.  8  d. 

15  y.  9  m.  3  d. 
ly.6d. 

6  m.  8  d. 

16  y.  1  m.  13  d. 
1  m.  24  d. 

7  y.  4  m.  22  d. 

4  y.  18  d. 
6  y.  12  d. 

5  y.  7  m.  10  d. 

II  m.  16  d. 
1  m.  5  d. 

5  m.  13  d. 

11  m.  19  d. 


239 

%  208.148 

297.253 

115.816 

1,078.359 

619.621 

264.489 

18.360 

234.368 

1,119.826 

1,434.117 

205.00 

4,172.673 

2,867.94 

63.653 

589.847 

19.112 

445.909 

145.47 

8,932.075 

15.434 

2,382.507 

157.479 

2,686.567 

590,400.00 


240 

%  585.082 

285.154 

69.89 
578.417 
3,513.909 
186.711 
6.238 
68.258 
2,478.667 
558.497 
139.72 
4,980.784 
529.65 
57.23 
807.913 
4.873 
689.891 
32.841 
579.796 
9.216 
720.766 
527.208 
9,781.545 
3,599.40 
827.972 


241 
$  593.582 

278.989 

78.874 

657.288 

3,444.152 

201.653 

4.96 

78.163 

2,203.491 

557.709 

130.608 

5,181.927 

626.971 

55.619 

814.645 

4.03 

683.306 

37.188 

583.171 

8.589 

707.89 

441.554 

8,430.913 

3,590.027 

815.892 


94 


DRILL  EXERCISES. 


PERCENTAGE 

(page   253). 

242 

243 

244 

245 

$  46.498 

%  54.998 

$  18.402 

$  621.678 

26.411 

20.246 

4.682 

300.718 

11.634 

20.618 

2.511 

87.997 

48.092 

126.963 

9.405 

695.975 

555.848 

486.091 

87.888 

3,912.112 

38.427 

53.369 

7.415 

232.665 

4.074 

2.796 

0.472 

8.562 

2.337 

12.242 

0.802 

79.698 

846.509 

571.333 

259.25 

2,790.75 

2.371 

1.583 

2.80 

557.28 

19.502 

10.48 

4.656 

145.544 

218.073 

419.216 

66.60 

5,333.40 

63.429 

160.75 

0.92 

689.48 

5.131 

3.52 

0.182 

60  568 

35.415 

42.147 

37.308  ^ 

812.752 

2.478 

1.635 

0.427 

6.081 

16.704 

10.119 

17.694 

682.316 

1.012 

5.359 

0.278 

37.922 

6.839 

10.244 

7.146 

682  894 

3.211 

2.584 

0.642 

11.158 

101.17 

88.294 

2.831 

806  229 

212.536 

126.882 

1.526 

652.564 

,569.087 

218.455 

1,902.777 

8,097.223 

9.973 

0.60 

40.00 

3,560.00 

92.808 

80.728 

40.285 

868415 

ANSWERS. 

b 

PEECENTAGE  (page  253).               ROOTS  ( 

page  276). 

5. 

246 

247 

248 

$  662.951 

25.4558... 

200.3... 

308.952 

217485... 

186.9... 

95826 

28.8963... 

166.9... 

734.77 

24  3310... 

198  4... 

4,076.779 

26.9443... 

208.5... 

251.744 

30.8868... 

179.4... 

9299 

19.1572... 

157.4... 

85.623 

17.0000 

141.7... 

3,213  909 

25.1992... 

186.3... 

561.953 

22.1133... 

179.4... 

152.564 

19  3649... 

196  2... 

5,536.568 

26  2488... 

154.2... 

693.172 

27.6405... 

170.0... 

60.871 

29.4108... 

211.2... 

897.318 

28.2134... 

161.1... 

6.749 

18.6279... 

185.7... 

710.79 

24.2074... 

116.9... 

39.944 

25.0399... 

195.0... 

600.957 

19.8746... 

186.1... 

12.302 

27.1661... 

141.5... 

811.494 

24.0624... 

1744... 

654.853 

22  0454... 

152.4... 

10,233  668 

30.6920... 

194.7... 

3,602.401 

16.6733... 

182.5... 

944.594 

24.2280... 

194.9... 

95 


YB  3584 


541713 


UNIVERSITY  OF  CAUFORNIA  LIBRARY 


